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<title>Algorithms_in_C++: math/gcd_iterative_euclidean.cpp File Reference</title>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -144,34 +144,34 @@ Functions</h2></td></tr>
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<p >algorithm </p>
<div class="fragment"><div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> {</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordflow">if</span> (num1 &lt;= 0 | num2 &lt;= 0) {</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a>(<span class="stringliteral">&quot;Euclidean algorithm domain is for ints &gt; 0&quot;</span>);</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> }</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordflow">if</span> (num1 == num2) {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> num1;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> }</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordtype">int</span> base_num = 0;</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordtype">int</span> previous_remainder = 1;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">if</span> (num1 &gt; num2) {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> base_num = num1;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> previous_remainder = num2;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> base_num = num2;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> previous_remainder = num1;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> }</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">while</span> ((base_num % previous_remainder) != 0) {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">int</span> old_base = base_num;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> base_num = previous_remainder;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> previous_remainder = old_base % previous_remainder;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> previous_remainder;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 15</span> {</div>
<div class="line"><span class="lineno"> 16</span> <span class="keywordflow">if</span> (num1 &lt;= 0 | num2 &lt;= 0) {</div>
<div class="line"><span class="lineno"> 17</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a>(<span class="stringliteral">&quot;Euclidean algorithm domain is for ints &gt; 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 18</span> }</div>
<div class="line"><span class="lineno"> 19</span> </div>
<div class="line"><span class="lineno"> 20</span> <span class="keywordflow">if</span> (num1 == num2) {</div>
<div class="line"><span class="lineno"> 21</span> <span class="keywordflow">return</span> num1;</div>
<div class="line"><span class="lineno"> 22</span> }</div>
<div class="line"><span class="lineno"> 23</span> </div>
<div class="line"><span class="lineno"> 24</span> <span class="keywordtype">int</span> base_num = 0;</div>
<div class="line"><span class="lineno"> 25</span> <span class="keywordtype">int</span> previous_remainder = 1;</div>
<div class="line"><span class="lineno"> 26</span> </div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">if</span> (num1 &gt; num2) {</div>
<div class="line"><span class="lineno"> 28</span> base_num = num1;</div>
<div class="line"><span class="lineno"> 29</span> previous_remainder = num2;</div>
<div class="line"><span class="lineno"> 30</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 31</span> base_num = num2;</div>
<div class="line"><span class="lineno"> 32</span> previous_remainder = num1;</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</span> </div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">while</span> ((base_num % previous_remainder) != 0) {</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordtype">int</span> old_base = base_num;</div>
<div class="line"><span class="lineno"> 37</span> base_num = previous_remainder;</div>
<div class="line"><span class="lineno"> 38</span> previous_remainder = old_base % previous_remainder;</div>
<div class="line"><span class="lineno"> 39</span> }</div>
<div class="line"><span class="lineno"> 40</span> </div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span> previous_remainder;</div>
<div class="line"><span class="lineno"> 42</span>}</div>
<div class="ttc" id="adomain_error_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a></div></div>
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<p >Main function </p>
<div class="fragment"><div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 120,7 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(120, 7)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">try</span> {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of -120,10 is &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(-120, 10) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> } <span class="keywordflow">catch</span> (<span class="keyword">const</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a> &amp;e) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Error handling was successful&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 312,221 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(312, 221)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 289,204 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(289, 204)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 47</span> {</div>
<div class="line"><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 120,7 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(120, 7)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 50</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of -120,10 is &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(-120, 10) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 51</span> } <span class="keywordflow">catch</span> (<span class="keyword">const</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a> &amp;e) {</div>
<div class="line"><span class="lineno"> 52</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Error handling was successful&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 53</span> }</div>
<div class="line"><span class="lineno"> 54</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 312,221 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(312, 221)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 55</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;gcd of 289,204 is &quot;</span> &lt;&lt; (<a class="code hl_function" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>(289, 204)) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
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