CF389A.Fox and Number Game

普及/提高-

通过率:0%

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题目描述

Fox Ciel is playing a game with numbers now.

Ciel has nn positive integers: x1x_{1} , x2x_{2} , ..., xnx_{n} . She can do the following operation as many times as needed: select two different indexes ii and jj such that xix_{i} > xjx_{j} hold, and then apply assignment xix_{i} = xix_{i} - xjx_{j} . The goal is to make the sum of all numbers as small as possible.

Please help Ciel to find this minimal sum.

输入格式

The first line contains an integer nn ( 2<=n<=1002<=n<=100 ). Then the second line contains nn integers: x1x_{1} , x2x_{2} , ..., xnx_{n} ( 1<=xi<=1001<=x_{i}<=100 ).

输出格式

Output a single integer — the required minimal sum.

输入输出样例

  • 输入#1

    2
    1 2
    

    输出#1

    2
    
  • 输入#2

    3
    2 4 6
    

    输出#2

    6
    
  • 输入#3

    2
    12 18
    

    输出#3

    12
    
  • 输入#4

    5
    45 12 27 30 18
    

    输出#4

    15
    

说明/提示

In the first example the optimal way is to do the assignment: x2x_{2} = x2x_{2} - x1x_{1} .

In the second example the optimal sequence of operations is: x3x_{3} = x3x_{3} - x2x_{2} , x2x_{2} = x2x_{2} - x1x_{1} .

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