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
import fractions

n = int(input())
Numbers =list(map(int,input().split()))

def lcm(Numbers):
    N = len(Numbers)
    if N == 1:
        return Numbers[0]
    else:
        Numbers[N-2] = \
        Numbers[N-1]*Numbers[N-2] \
        //fractions.gcd(Numbers[N-1],Numbers[N-2])
        return lcm(Numbers[0:N-1])

print(lcm(Numbers))

