Fox Ciel is playing a game with numbers now. 

Ciel has *n* positive integers: *x*<sub class="lower-index">1</sub>, *x*<sub class="lower-index">2</sub>, ..., *x*<sub class="lower-index">*n*</sub>. She can do the following operation as many times as needed: select two different indexes *i* and *j* such that *x*<sub class="lower-index">*i*</sub> &gt; *x*<sub class="lower-index">*j*</sub> hold, and then apply assignment *x*<sub class="lower-index">*i*</sub> = *x*<sub class="lower-index">*i*</sub> - *x*<sub class="lower-index">*j*</sub>. The goal is to make the sum of all numbers as small as possible.

Please help Ciel to find this minimal sum.
The first line contains an integer *n* (2 ≤ *n* ≤ 100). Then the second line contains *n* integers: *x*<sub class="lower-index">1</sub>, *x*<sub class="lower-index">2</sub>, ..., *x*<sub class="lower-index">*n*</sub> (1 ≤ *x*<sub class="lower-index">*i*</sub> ≤ 100).
def gcd(x,y):
    if(x%y == 0):
        return y
    else:
        return gcd(y,x%y)
if __name__=='__main__':
    n = (int)(input())
    x = list(map(int, input().split()))
    g = x[0]
    for i in range(len(x)):
        g = gcd(g,x[i])
    print(g*len(x))
