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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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