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حد الوقت: 1 s حد الذاكرة: 256 MB مجموع النقاط: 100

#10941. 隐藏整数

الإحصائيات

David Blane 有一个隐藏的整数 $x$。

他进行了 $k$ 次操作。在第 $i$ 次操作中,$x$ 变为不小于当前 $x$ 的最小整数,且该整数是 $i$ 的倍数。

他想知道现在的数字 $x$ 是多少。

输入格式

输入包含不超过 510 组测试数据,以一行 0 0 结束。

对于每组测试数据,唯一的一行包含两个整数 $x, k$ ($1 \le x \le 10^{10}, 1 \le k \le 10^{10}$)。

输出格式

对于每组测试数据,输出一行,包含 $x$ 的值。

样例

输入格式 1

2520 10
2520 20
0 0

输出格式 1

2520
2600

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