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):
    if b == 0: return a
    else: return gcd(b, a % b)
def lcm(a, b):
    return a * b / gcd(a, b)
n = input()
print reduce(lambda a, b:lcm(a, b), map(int, raw_input().split()))