Find the least common multiple (LCM) of given n integers.

Constraints

* 2 ≤ n ≤ 10
* 1 ≤ ai ≤ 1000
* Product of given integers ai(i = 1, 2, ... n) does not exceed 231-1

Input


n
a1 a2 ... an


n is given in the first line. Then, n integers are given in the second line.

Output

Print the least common multiple of the given integers in a line.

Examples

Input

3
3 4 6


Output

12


Input

4
1 2 3 5


Output

30
from itertools import accumulate


def GCD(x, y):
    if y == 0:
        return x
    return GCD(y, x % y)


def LCM(a, b):
    return a // GCD(a, b) * b


if __name__ == "__main__":
    N = int(input())
    A = list(map(int, input().split()))
    lcm = 1
    ans = list(accumulate(A, func=LCM))[-1]
    print(ans)
