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@@ -124,18 +124,18 @@ Namespaces</h2></td></tr>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:afa39ec943a4836c878e1614fd89b146f"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#afa39ec943a4836c878e1614fd89b146f">math::largestPower</a> (uint32_t n, const uint16_t &amp;p)</td></tr>
<tr class="memdesc:afa39ec943a4836c878e1614fd89b146f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate largest power. <a href="../../dd/d47/namespacemath.html#afa39ec943a4836c878e1614fd89b146f">More...</a><br /></td></tr>
<tr class="memdesc:afa39ec943a4836c878e1614fd89b146f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate largest power. <br /></td></tr>
<tr class="separator:afa39ec943a4836c878e1614fd89b146f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7a/largest__power_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for testing largestPower function. test cases and assert statement. <a href="../../d5/d7a/largest__power_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for testing largestPower function. test cases and assert statement. <br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7a/largest__power_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d5/d7a/largest__power_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula. </p>
<p >Given an integer n and a prime number p, the task is to find the largest x such that p^x (p raised to power x) divides n! (factorial). This will be done using Legendre's formula: x = [n/(p^1)] + [n/(p^2)] + [n/(p^3)] + \ldots + 1 </p><dl class="section see"><dt>See also</dt><dd>more on <a href="https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n">https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n</a> </dd></dl>
<div class="textblock"><p>Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula. </p>
<p>Given an integer n and a prime number p, the task is to find the largest x such that p^x (p raised to power x) divides n! (factorial). This will be done using Legendre's formula: x = [n/(p^1)] + [n/(p^2)] + [n/(p^3)] + \ldots + 1 </p><dl class="section see"><dt>See also</dt><dd>more on <a href="https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n">https://math.stackexchange.com/questions/141196/highest-power-of-a-prime-p-dividing-n</a> </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/uday6670" target="_blank">uday6670</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
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