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GCD

Find the Greatest Common Divisor of n numbers.

Input

The first line contains the value of n (1 < n < 101). The second line contains n positive integers. Each number is not greater than 30000.

Output

Print the Greatest Common Divisor of n numbers.

Time limit 1 second
Memory limit 128 MiB
Input example #1
2
15 25
Output example #1
5