Common Divisor

You are given a sequence of integers. You want to find out if all the numbers have a common divisor.
If there exists such a number, print "YES", otherwise print "NO".

Input Format:
The first line of the input contains an integer N, denoting the number of elements in the array.
The second line contains N space-separated integers.

Output Format:
Print "YES" or "NO" on a single line(without quotes) according to the above condition.

Example:
Input:
3
2 3 4
Output:
NO

Input:
5
5 10 15 20 25
Output:
YES

CODE::

n=int(input())
a=list(map(int,input().split()))
b=min(a)
divi=1
count=0
for i in range(2,b+1):
    count=0
    for j in range(n):
        if a[j]%i==0:
            count+=1
    if count==n:
        divi=i
if divi==1:
    print("NO")
else:
    print("YES")