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 math import gcd


def lcm(arr):
    ret = 1
    for a in arr:
        ret = ret * a // gcd(ret, a)
    return ret


def aoj():
    N = int(input())
    print(lcm([int(x) for x in input().split()]))


if __name__ == '__main__':
    aoj()

