CF664A.Complicated GCD

普及/提高-

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题目描述

Greatest common divisor GCD(a,b)GCD(a,b) of two positive integers aa and bb is equal to the biggest integer dd such that both integers aa and bb are divisible by dd . There are many efficient algorithms to find greatest common divisor GCD(a,b)GCD(a,b) , for example, Euclid algorithm.

Formally, find the biggest integer dd , such that all integers a,a+1,a+2,...,ba,a+1,a+2,...,b are divisible by dd . To make the problem even more complicated we allow aa and bb to be up to googol, 1010010^{100} — such number do not fit even in 64-bit integer type!

输入格式

The only line of the input contains two integers aa and bb ( 1<=a<=b<=101001<=a<=b<=10^{100} ).

输出格式

Output one integer — greatest common divisor of all integers from aa to bb inclusive.

输入输出样例

  • 输入#1

    1 2
    

    输出#1

    1
    
  • 输入#2

    61803398874989484820458683436563811772030917980576 61803398874989484820458683436563811772030917980576
    

    输出#2

    61803398874989484820458683436563811772030917980576
    
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