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(x,y):
    r = x%y
    if r == 0:
        return y
    else:
        return GCD(y,r)


n = int(input())
list1 = list(map(int,input().split()))
result = list1[0]
for i in list1[1:]:
    result = result*i/GCD(i,result)

print(int(result))