Documentation for 2a076c1b03

2026-03-30 08:41:30 +08:00 · 2022-06-09 15:19:34 +00:00
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-<p>An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\).  
+<p>An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) +
+\mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\).  
 <a href="#details">More...</a></p>
 <div class="textblock"><code>#include &lt;cassert&gt;</code><br />
 <code>#include &lt;iostream&gt;</code><br />
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 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<div class="textblock"><p >An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\). </p>
-<p >An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) where \(\mathrm{LCM}(i,n)\) denotes the Least Common Multiple of the integers i and n. For n greater than or equal to 1. The value of the sum is calculated by formula: </p><p class="formulaDsp">
-\[ \sum\mathrm{LCM}(i, n) = \frac{1}{2} \left[\left(\sum (d * \mathrm{ETF}(d)) + 1\right) * n\right] \]
+<div class="textblock"><p >An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) +
+\mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\). </p>
+<p >An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) +
+\mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) where \(\mathrm{LCM}(i,n)\) denotes the Least Common Multiple of the integers i and n. For n greater than or equal to 1. The value of the sum is calculated by formula: </p><p class="formulaDsp">
+\[ \sum\mathrm{LCM}(i, n) = \frac{1}{2} \left[\left(\sum (d *
+\mathrm{ETF}(d)) + 1\right) * n\right] \]
 </p>
 <p> where \mathrm{ETF}(i) represents Euler totient function of i. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/chestamittal" target="_blank">Chesta Mittal</a> </dd></dl>
 </div><h2 class="groupheader">Function Documentation</h2>
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