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 math import gcd
a = int(input())  
b = list(map(int, input().split())) 
lcm = b[0]  
for m in b[1:]:
    lcm = int((lcm*m)/gcd(lcm, m)) 
print(lcm)

