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#15574. LCM

Estadísticas

给定两个自然数 $A$ 和 $B$。求一个自然数 $N$,使得 $A + N$ 和 $B + N$ 的最小公倍数 $\text{LCM}(A + N, B + N)$ 最小。

输入格式

输入唯一的一行,包含两个自然数 $A$ 和 $B$。它们均不超过 $10^9$。

输出格式

输出使得 $\text{LCM}(A + N, B + N)$ 最小的自然数 $N$。如果有多个 $N$ 都能取得最小值,输出其中最小的那个。

样例

输入样例 1

4 10

输出样例 1

2

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