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Time Limit: 1 s Memory Limit: 128 MB Total points: 100

#4179. SuperGCD

Statistics

Sheng bill 有着惊人的心算能力,甚至能用大脑计算出两个巨大的数的 GCD(最大公约数)!因此他经常和别人比赛计算 GCD。有一天 Sheng bill 很嚣张地找到了你,并要求和你比赛,但是输给Sheng bill岂不是很丢脸!所以你决定写一个程序来教训他。

输入格式

共两行:

  • 第一行:一个数 $A$。
  • 第二行:一个数 $B$。

输出格式

一行,表示 $A$ 和 $B$ 的最大公约数。

样例数据

样例输入

12
54

样例输出

6

子任务

测试点 $A,B \leq $
$1 \sim 2$ $10^{18}$
$3$ $10^{100}$
$4$ $10^{500}$
$5$ $10^{5\,000}$
$6$ $10^{6\,000}$
$7$ $10^{7\,000}$
$8 \sim 10$ $10^{10\,000}$

对于 $100\%$ 的数据,$1 \leq A,B \leq 10^{10\,000}$。

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