给定一个自然数 $n$。找到 $n$ 的最小倍数,该倍数是一个自然数的平方。
Input Format
输入的第一行也是唯一一行包含一个自然数 $n$ (1 ≤ $n$ ≤ 500 000 000)。
Output Format
输出的第一行也是唯一一行应包含最小的自然数 $m$,该数是 $n$ 的倍数,同时也是一个自然数的平方。
Examples
Input
24
Output
144
Input 2
9851900
Output 2
970599336100
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给定一个自然数 $n$。找到 $n$ 的最小倍数,该倍数是一个自然数的平方。
输入的第一行也是唯一一行包含一个自然数 $n$ (1 ≤ $n$ ≤ 500 000 000)。
输出的第一行也是唯一一行应包含最小的自然数 $m$,该数是 $n$ 的倍数,同时也是一个自然数的平方。
24
144
9851900
970599336100
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