GCD

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3 votes
Problem

Greatest common divisor GCD(a, b) of two positive integers a and b is equal to the biggest integer d such that both integers a and b are divisible by d. There are many efficient algorithms to find greatest common divisor GCD(a, b), for example, Euclid algorithm.
Formally, find the biggest integer d, such that all integers a, a + 1, a + 2, ..., b are divisible by d.

Input:
The only line of the input contains two integers a and b (1 ≤ a ≤ b ≤ 10^100).

Output:
Output one integer — greatest common divisor of all integers from a to b inclusive.

Time Limit: 5
Memory Limit: 256
Source Limit:
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