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
#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
4
1 2 3 5

output:
30
"""

import sys
from functools import reduce


def gcd(x, y):
    if x < y:
        x, y = y, x

    while y > 0:
        r = x % y
        x = y
        y = r

    return x


def lcm(a, b):
    return a * b // gcd(a, b)


def solve(_n_list):
    return reduce(lcm, _n_list)


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    cnt = int(_input[0])
    n_list = tuple(map(int, _input[1].split()))
    print(solve(n_list))