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fix: add <cstdint> to math/**
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@@ -1,41 +1,42 @@
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/**
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* @file
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* @brief Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula.
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* @details Given an integer n and a prime number p, the task is to find the largest x such that
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* p^x (p raised to power x) divides n! (factorial). This will be done using Legendre's formula:
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* x = [n/(p^1)] + [n/(p^2)] + [n/(p^3)] + \ldots + 1
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* @see more on https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n
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* @brief Algorithm to find largest x such that p^x divides n! (factorial) using
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* Legendre's Formula.
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* @details Given an integer n and a prime number p, the task is to find the
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* largest x such that p^x (p raised to power x) divides n! (factorial). This
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* will be done using Legendre's formula: x = [n/(p^1)] + [n/(p^2)] + [n/(p^3)]
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* + \ldots + 1
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* @see more on
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* https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n
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* @author [uday6670](https://github.com/uday6670)
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*/
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#include <iostream> /// for std::cin and std::cout
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#include <cassert> /// for assert
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#include <cassert> /// for assert
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#include <cstdint> /// for integral typedefs
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#include <iostream> /// for std::cin and std::cout
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/**
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* @namespace math
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* @brief Mathematical algorithms
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*/
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namespace math {
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/**
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* @brief Function to calculate largest power
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* @param n number
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* @param p prime number
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* @returns largest power
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*/
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uint64_t largestPower(uint32_t n, const uint16_t& p)
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{
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// Initialize result
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int x = 0;
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// Calculate result
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while (n)
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{
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n /= p;
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x += n;
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}
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return x;
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/**
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* @brief Function to calculate largest power
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* @param n number
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* @param p prime number
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* @returns largest power
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*/
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uint64_t largestPower(uint32_t n, const uint16_t& p) {
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// Initialize result
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int x = 0;
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// Calculate result
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while (n) {
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n /= p;
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x += n;
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}
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return x;
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}
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} // namespace math
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@@ -43,36 +44,34 @@ namespace math {
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* @brief Function for testing largestPower function.
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* test cases and assert statement.
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* @returns `void`
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*/
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static void test()
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{
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uint8_t test_case_1 = math::largestPower(5,2);
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assert(test_case_1==3);
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std::cout<<"Test 1 Passed!"<<std::endl;
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uint16_t test_case_2 = math::largestPower(10,3);
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assert(test_case_2==4);
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std::cout<<"Test 2 Passed!"<<std::endl;
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uint32_t test_case_3 = math::largestPower(25,5);
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assert(test_case_3==6);
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std::cout<<"Test 3 Passed!"<<std::endl;
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uint32_t test_case_4 = math::largestPower(27,2);
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assert(test_case_4==23);
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std::cout<<"Test 4 Passed!"<<std::endl;
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uint16_t test_case_5 = math::largestPower(7,3);
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assert(test_case_5==2);
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std::cout<<"Test 5 Passed!"<<std::endl;
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}
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*/
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static void test() {
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uint8_t test_case_1 = math::largestPower(5, 2);
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assert(test_case_1 == 3);
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std::cout << "Test 1 Passed!" << std::endl;
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uint16_t test_case_2 = math::largestPower(10, 3);
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assert(test_case_2 == 4);
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std::cout << "Test 2 Passed!" << std::endl;
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uint32_t test_case_3 = math::largestPower(25, 5);
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assert(test_case_3 == 6);
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std::cout << "Test 3 Passed!" << std::endl;
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uint32_t test_case_4 = math::largestPower(27, 2);
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assert(test_case_4 == 23);
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std::cout << "Test 4 Passed!" << std::endl;
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uint16_t test_case_5 = math::largestPower(7, 3);
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assert(test_case_5 == 2);
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std::cout << "Test 5 Passed!" << std::endl;
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}
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/**
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* @brief Main function
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* @returns 0 on exit
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*/
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int main()
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{
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test(); // execute the tests
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int main() {
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test(); // execute the tests
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return 0;
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}
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}
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