diff --git a/d1/d11/gcd__of__n__numbers_8cpp.html b/d1/d11/gcd__of__n__numbers_8cpp.html index f4498e5e2..346066d97 100644 --- a/d1/d11/gcd__of__n__numbers_8cpp.html +++ b/d1/d11/gcd__of__n__numbers_8cpp.html @@ -105,73 +105,193 @@ $(function(){initNavTree('d1/d11/gcd__of__n__numbers_8cpp.html','../../'); initR
+Namespaces | Functions
gcd_of_n_numbers.cpp File Reference
-

This program aims at calculating the GCD of n numbers by division method. +

This program aims at calculating the GCD of n numbers. More...

-
#include <iostream>
+
#include <algorithm>
+#include <array>
+#include <cassert>
+#include <iostream>
Include dependency graph for gcd_of_n_numbers.cpp:
-
+
+ + + + + + + +

+Namespaces

namespace  math
 for IO operations
 
namespace  gcd_of_n_numbers
 Compute GCD of numbers in an array.
 
- - + + + + + + + + + + + + + + +

Functions

int gcd (int *a, int n)
 
int math::gcd_of_n_numbers::gcd_two (int x, int y)
 Function to compute GCD of 2 numbers x and y.
 
template<std::size_t n>
bool math::gcd_of_n_numbers::check_all_zeros (const std::array< int, n > &a)
 Function to check if all elements in the array are 0.
 
template<std::size_t n>
int math::gcd_of_n_numbers::gcd (const std::array< int, n > &a)
 Main program to compute GCD using the Euclidean algorithm.
 
static void test ()
 Self-test implementation.
 
int main ()
 Main function.
 

Detailed Description

-

This program aims at calculating the GCD of n numbers by division method.

+

This program aims at calculating the GCD of n numbers.

+

The GCD of n numbers can be calculated by repeatedly calculating the GCDs of pairs of numbers i.e. \(\gcd(a, b, c)\) = \(\gcd(\gcd(a, b), c)\) Euclidean algorithm helps calculate the GCD of each pair of numbers efficiently

See also
gcd_iterative_euclidean.cpp, gcd_recursive_euclidean.cpp

Function Documentation

- -

◆ gcd()

+ +

◆ check_all_zeros()

+ +
+
+
+template<std::size_t n>
+ + + + + + + +
bool math::gcd_of_n_numbers::check_all_zeros (const std::array< int, n > & a)
+
+ +

Function to check if all elements in the array are 0.

+
Parameters
+ + +
aArray of numbers
+
+
+
Returns
'True' if all elements are 0
+
+'False' if not all elements are 0
+
53 {
+
54 // Use std::all_of to simplify zero-checking
+
55 return std::all_of(a.begin(), a.end(), [](int x) { return x == 0; });
+
56}
+
std::all_of
T all_of(T... args)
+
+Here is the call graph for this function:
+
+
+
+ +
+
+ +

◆ gcd()

+ +
+
+
+template<std::size_t n>
+ + + + + + + +
int math::gcd_of_n_numbers::gcd (const std::array< int, n > & a)
+
+ +

Main program to compute GCD using the Euclidean algorithm.

+
Parameters
+ + +
aArray of integers to compute GCD for
+
+
+
Returns
GCD of the numbers in the array or std::nullopt if undefined
+
64 {
+
65 // GCD is undefined if all elements in the array are 0
+
66 if (check_all_zeros(a)) {
+
67 return -1; // Use std::optional to represent undefined GCD
+
68 }
+
69
+
70 // divisors can be negative, we only want the positive value
+
71 int result = std::abs(a[0]);
+
72 for (std::size_t i = 1; i < n; ++i) {
+
73 result = gcd_two(result, std::abs(a[i]));
+
74 if (result == 1) {
+
75 break; // Further computations still result in gcd of 1
+
76 }
+
77 }
+
78 return result;
+
79}
+
math::fibonacci_sum::result
uint64_t result(uint64_t n)
Definition fibonacci_sum.cpp:76
+
math::gcd_of_n_numbers::gcd_two
int gcd_two(int x, int y)
Function to compute GCD of 2 numbers x and y.
Definition gcd_of_n_numbers.cpp:35
+
math::gcd_of_n_numbers::check_all_zeros
bool check_all_zeros(const std::array< int, n > &a)
Function to check if all elements in the array are 0.
Definition gcd_of_n_numbers.cpp:53
+ +
+Here is the call graph for this function:
+
+
+
+ +
+
+ +

◆ gcd_two()

- + - + - +
int gcd int math::gcd_of_n_numbers::gcd_two (int * a, int x,
int n )int y )
-

Compute GCD using division algorithm

+ +

Function to compute GCD of 2 numbers x and y.

Parameters
- - + +
[in]aarray of integers to compute GCD for
[in]nnumber of integers in array a
xFirst number
ySecond number
-
15 {
-
16 int j = 1; // to access all elements of the array starting from 1
-
17 int gcd = a[0];
-
18 while (j < n) {
-
19 if (a[j] % gcd == 0) // value of gcd is as needed so far
-
20 j++; // so we check for next element
-
21 else
-
22 gcd = a[j] % gcd; // calculating GCD by division method
-
23 }
-
24 return gcd;
-
25}
-
gcd
int gcd(int *a, int n)
Definition gcd_of_n_numbers.cpp:15
+
Returns
GCD of x and y via recursion
+
35 {
+
36 // base cases
+
37 if (y == 0) {
+
38 return x;
+
39 }
+
40 if (x == 0) {
+
41 return y;
+
42 }
+
43 return gcd_two(y, x % y); // Euclidean method
+
44}
Here is the call graph for this function:
-
+
@@ -190,30 +310,68 @@ Here is the call graph for this function:
-

Main function

-
28 {
-
29 int n;
-
30 std::cout << "Enter value of n:" << std::endl;
-
31 std::cin >> n;
-
32 int *a = new int[n];
-
33 int i;
-
34 std::cout << "Enter the n numbers:" << std::endl;
-
35 for (i = 0; i < n; i++) std::cin >> a[i];
-
36
-
37 std::cout << "GCD of entered n numbers:" << gcd(a, n) << std::endl;
-
38
-
39 delete[] a;
-
40 return 0;
-
41}
- - -
std::endl
T endl(T... args)
+ +

Main function.

+
Returns
0 on exit
+
111 {
+
112 test(); // run self-test implementation
+
113 return 0;
+
114}
+
test
static void test()
Self-test implementation.
Definition gcd_of_n_numbers.cpp:87
Here is the call graph for this function:
-
+
+
+
+ +

◆ test()

+ +
+
+ + + + + +
+ + + + + + + +
static void test ()
+ 		+static
+
+ +

Self-test implementation.

+
Returns
void
+
87 {
+
88 std::array<int, 1> array_1 = {0};
+
89 std::array<int, 1> array_2 = {1};
+
90 std::array<int, 2> array_3 = {0, 2};
+
91 std::array<int, 3> array_4 = {-60, 24, 18};
+
92 std::array<int, 4> array_5 = {100, -100, -100, 200};
+
93 std::array<int, 5> array_6 = {0, 0, 0, 0, 0};
+
94 std::array<int, 7> array_7 = {10350, -24150, 0, 17250, 37950, -127650, 51750};
+
95 std::array<int, 7> array_8 = {9500000, -12121200, 0, 4444, 0, 0, 123456789};
+
96
+
97 assert(math::gcd_of_n_numbers::gcd(array_1) == -1);
+
98 assert(math::gcd_of_n_numbers::gcd(array_2) == 1);
+
99 assert(math::gcd_of_n_numbers::gcd(array_3) == 2);
+
100 assert(math::gcd_of_n_numbers::gcd(array_4) == 6);
+
101 assert(math::gcd_of_n_numbers::gcd(array_5) == 100);
+
102 assert(math::gcd_of_n_numbers::gcd(array_6) == -1);
+
103 assert(math::gcd_of_n_numbers::gcd(array_7) == 3450);
+
104 assert(math::gcd_of_n_numbers::gcd(array_8) == 1);
+
105}
+ +
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- + + @@ -17,14 +17,15 @@ ]]> - -gcd + +math::gcd_of_n_numbers::gcd_two Node1 - - -gcd + + +math::gcd_of_n_numbers +::gcd_two @@ -32,8 +33,8 @@ Node1->Node1 - - + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_a509a35e11ed1e17a9e00dd56320a4181_cgraph_org.svg b/d1/d11/gcd__of__n__numbers_8cpp_a509a35e11ed1e17a9e00dd56320a4181_cgraph_org.svg new file mode 100644 index 000000000..1935e208f --- /dev/null +++ b/d1/d11/gcd__of__n__numbers_8cpp_a509a35e11ed1e17a9e00dd56320a4181_cgraph_org.svg @@ -0,0 +1,31 @@ + + + + + + +math::gcd_of_n_numbers::gcd_two + + +Node1 + + +math::gcd_of_n_numbers +::gcd_two + + + + + +Node1->Node1 + + + + + + + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.map b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.map new file mode 100644 index 000000000..83d873b0c --- /dev/null +++ b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.map @@ -0,0 +1,6 @@ + + + + + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.md5 b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.md5 new file mode 100644 index 000000000..c75b9fa5e --- /dev/null +++ b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.md5 @@ -0,0 +1 @@ +390c2e580c1cd1e67189e4c5eb8d042a \ No newline at end of file diff --git a/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.svg b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.svg new file mode 100644 index 000000000..2b8dee009 --- /dev/null +++ b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph.svg @@ -0,0 +1,75 @@ + + + + + + + + + + + + +math::gcd_of_n_numbers::check_all_zeros + + +Node1 + + +math::gcd_of_n_numbers +::check_all_zeros + + + + + +Node1->Node1 + + + + + + + + +Node2 + + +std::all_of + + + + + +Node1->Node2 + + + + + + + + + + + + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph_org.svg b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph_org.svg new file mode 100644 index 000000000..9427b23bd --- /dev/null +++ b/d1/d11/gcd__of__n__numbers_8cpp_a71b9357c7a722f8208499d9ba573297a_cgraph_org.svg @@ -0,0 +1,49 @@ + + + + + + +math::gcd_of_n_numbers::check_all_zeros + + +Node1 + + +math::gcd_of_n_numbers +::check_all_zeros + + + + + +Node1->Node1 + + + + + + + + +Node2 + + +std::all_of + + + + + +Node1->Node2 + + + + + + + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index 063eb2b07..91d45385f 100644 --- a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,8 +1,5 @@ - - - - - - + + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index 73a368eca..fbe70326c 100644 --- a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -23bd5a5f2fd026582d5795668b1d7a60 \ No newline at end of file +c6e7f6d13bdecb1abd6b393342788302 \ No newline at end of file diff --git a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg index 2870871e4..14c2e125e 100644 --- a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -4,8 +4,8 @@ - + @@ -17,23 +17,23 @@ ]]> - + main Node1 - - -main + + +main Node2 - - -std::endl + + +test @@ -41,35 +41,8 @@ Node1->Node2 - - - - - - - -Node3 - - -gcd - - - - - -Node1->Node3 - - - - - - - - -Node3->Node3 - - - + + diff --git a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg index 41e892777..072953a46 100644 --- a/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg +++ b/d1/d11/gcd__of__n__numbers_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg @@ -4,25 +4,25 @@ - - + + main Node1 - - -main + + +main Node2 - - -std::endl + + +test @@ -30,35 +30,8 @@ Node1->Node2 - - - - - - - -Node3 - - -gcd - - - - - -Node1->Node3 - - - - - - - - -Node3->Node3 - - - + + diff --git a/d1/d7d/gcd__of__n__numbers_8cpp__incl.map b/d1/d7d/gcd__of__n__numbers_8cpp__incl.map index 954bd112c..16dd69c56 100644 --- a/d1/d7d/gcd__of__n__numbers_8cpp__incl.map +++ b/d1/d7d/gcd__of__n__numbers_8cpp__incl.map @@ -1,5 +1,11 @@ - - - + + + + + + + + + diff --git a/d1/d7d/gcd__of__n__numbers_8cpp__incl.md5 b/d1/d7d/gcd__of__n__numbers_8cpp__incl.md5 index add1c9ca1..74fc4c1dd 100644 --- a/d1/d7d/gcd__of__n__numbers_8cpp__incl.md5 +++ b/d1/d7d/gcd__of__n__numbers_8cpp__incl.md5 @@ -1 +1 @@ -61550a80843a5c941a4633af278ace82 \ No newline at end of file +31e596acc14c7c7c7aa9eb1eed48b503 \ No newline at end of file diff --git a/d1/d7d/gcd__of__n__numbers_8cpp__incl.svg b/d1/d7d/gcd__of__n__numbers_8cpp__incl.svg index f3acd9041..801b1a784 100644 --- a/d1/d7d/gcd__of__n__numbers_8cpp__incl.svg +++ b/d1/d7d/gcd__of__n__numbers_8cpp__incl.svg @@ -4,8 +4,8 @@ - + @@ -22,9 +22,9 @@ Node1 - - -math/gcd_of_n_numbers.cpp + + +math/gcd_of_n_numbers.cpp @@ -32,8 +32,8 @@ Node2 - -iostream + +algorithm @@ -41,8 +41,62 @@ Node1->Node2 - - + + + + + + + +Node3 + + +array + + + + + +Node1->Node3 + + + + + + + + +Node4 + + +cassert + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +iostream + + + + + +Node1->Node5 + + + diff --git a/d1/d7d/gcd__of__n__numbers_8cpp__incl_org.svg b/d1/d7d/gcd__of__n__numbers_8cpp__incl_org.svg index 7b6e43799..e333e9920 100644 --- a/d1/d7d/gcd__of__n__numbers_8cpp__incl_org.svg +++ b/d1/d7d/gcd__of__n__numbers_8cpp__incl_org.svg @@ -4,16 +4,16 @@ - + math/gcd_of_n_numbers.cpp Node1 - - -math/gcd_of_n_numbers.cpp + + +math/gcd_of_n_numbers.cpp @@ -21,8 +21,8 @@ Node2 - -iostream + +algorithm @@ -30,8 +30,62 @@ Node1->Node2 - - + + + + + + + +Node3 + + +array + + + + + +Node1->Node3 + + + + + + + + +Node4 + + +cassert + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +iostream + + + + + +Node1->Node5 + + + diff --git a/d2/ddb/namespacegcd__of__n__numbers.html b/d2/ddb/namespacegcd__of__n__numbers.html new file mode 100644 index 000000000..9507eecf3 --- /dev/null +++ b/d2/ddb/namespacegcd__of__n__numbers.html @@ -0,0 +1,125 @@ + + + + + + + +Algorithms_in_C++: gcd_of_n_numbers Namespace Reference + + + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+
+
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+
Loading...
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+
gcd_of_n_numbers Namespace Reference
+
+
+ +

Compute GCD of numbers in an array. +More...

+

Detailed Description

+

Compute GCD of numbers in an array.

+
+
+ + + + diff --git a/d4/d45/gcd__recursive__euclidean_8cpp.html b/d4/d45/gcd__recursive__euclidean_8cpp.html index e5edb3817..454c80aed 100644 --- a/d4/d45/gcd__recursive__euclidean_8cpp.html +++ b/d4/d45/gcd__recursive__euclidean_8cpp.html @@ -128,7 +128,7 @@ Functions

Detailed Description

Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm

-
See also
gcd_iterative_euclidean.cpp, gcd_of_n_numbers.cpp
+
See also
gcd_iterative_euclidean.cpp, gcd_of_n_numbers.cpp

Function Documentation

◆ gcd()

diff --git a/d4/da0/gcd__iterative__euclidean_8cpp.html b/d4/da0/gcd__iterative__euclidean_8cpp.html index 6649ce021..31c3a06a5 100644 --- a/d4/da0/gcd__iterative__euclidean_8cpp.html +++ b/d4/da0/gcd__iterative__euclidean_8cpp.html @@ -129,7 +129,7 @@ Functions

Detailed Description

Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm

-
See also
gcd_recursive_euclidean.cpp, gcd_of_n_numbers.cpp
+
See also
gcd_recursive_euclidean.cpp, gcd_of_n_numbers.cpp

Function Documentation

◆ gcd()

diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html index a5602d36a..b9291a899 100644 --- a/dd/d47/namespacemath.html +++ b/dd/d47/namespacemath.html @@ -305,6 +305,8 @@ Functions

for IO operations for assert

for assert for std::cin and std::cout

Mathematical algorithms

+

for std::abs for std::array for assert

+

Maths algorithms

for assert for mathematical functions for passing in functions for IO operations

for math functions for fixed size data types for time to initialize rng for function pointers for std::cout for random number generation for std::vector

for assert for integral types for std::invalid_argument for std::cout

diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.html b/dir_296d53ceaeaa7e099814a6def439fe8a.html index 1ae74f629..5f737e448 100644 --- a/dir_296d53ceaeaa7e099814a6def439fe8a.html +++ b/dir_296d53ceaeaa7e099814a6def439fe8a.html @@ -178,7 +178,7 @@ Files  Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm
   gcd_of_n_numbers.cpp - This program aims at calculating the GCD of n numbers by division method.
+ This program aims at calculating the GCD of n numbers.
   gcd_recursive_euclidean.cpp  Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm
diff --git a/doxygen_crawl.html b/doxygen_crawl.html index 850ec8ca2..093ef54bd 100644 --- a/doxygen_crawl.html +++ b/doxygen_crawl.html @@ -485,6 +485,7 @@ + @@ -1053,7 +1054,10 @@ - + + + + @@ -1395,6 +1399,7 @@ + @@ -3259,6 +3264,9 @@ + + + diff --git a/files.html b/files.html index b14d3a9e6..dd730239a 100644 --- a/files.html +++ b/files.html @@ -262,7 +262,7 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze algorithm \mathrm{F}(n+1) + .. + \mathrm{F}(m)\)  finding_number_of_digits_in_a_number.cpp[Program to count digits in an integer](https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods)  gcd_iterative_euclidean.cppCompute the greatest common denominator of two integers using iterative form of Euclidean algorithm - gcd_of_n_numbers.cppThis program aims at calculating the GCD of n numbers by division method + gcd_of_n_numbers.cppThis program aims at calculating the GCD of n numbers  gcd_recursive_euclidean.cppCompute the greatest common denominator of two integers using recursive form of Euclidean algorithm  integral_approximation.cppCompute integral approximation of the function using Riemann sum  integral_approximation2.cppMonte Carlo Integration diff --git a/globals_func_g.html b/globals_func_g.html index c070f14d8..80cb2c461 100644 --- a/globals_func_g.html +++ b/globals_func_g.html @@ -107,7 +107,7 @@ $(function(){initNavTree('globals_func_g.html',''); initResizable(true); });
Here is a list of all documented functions with links to the documentation:

- g -

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