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
def gcd(a, b):
    """a, bの最大公約数(greatest common divisor:GCD)を求める"""
    if b == 0:
        return a
    return gcd(b, a%b)


def multi_lcm(array):
    """arrayのLCMを求める"""
    ans = array[0]
    for i in range(1, len(array)):
        ans = (ans * array[i]) // gcd(ans, array[i])
    return ans


n = int(input())
a = list(map(int, input().split()))
print(multi_lcm(a))
