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 functools import reduce

def gcd(m, n):
    if m < n:
        return gcd(n, m)
    if n == 0:
        return m
    return gcd(n, m % n)

def lcm(m, n):
    return m * n // gcd(m, n)

n = int(input())
l = [int(arg) for arg in input().split()]
print(reduce(lcm, l, l[0]))

