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5801: Fox and Number Game

内存限制：256 MB 时间限制：2 S
题面：传统 评测方式：文本比较 上传者：
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题目描述

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Fox Ciel is playing a game with numbers now.
Ciel has n positive integers: x1, x2, ..., xn. She can do the following operation as many times as needed: select two different indexes i and j such that xi > xj hold, and then apply assignment xi = xi - xj. The goal is to make the sum of all numbers as small as possible.
Please help Ciel to find this minimal sum.
Input
The first line contains an integer n (2≤n≤100). Then the second line contains n integers: x1, x2, ..., xn (1≤xi≤100).
Output
Output a single integer − the required minimal sum.
Examples
Input
2
1 2
Output
2
Input
3
2 4 6
Output
6
Input
2
12 18
Output
12
Input
5
45 12 27 30 18
Output
15
Note
In the first example the optimal way is to do the assignment: x2 = x2 - x1.
In the second example the optimal sequence of operations is: x3 = x3 - x2, x2 = x2 - x1.

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