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
n = input()
nums = map(int,raw_input().split())
nums = sorted(nums)
i=n-2
x=1
while True:
    if i<0:
        break
    tmp =nums[n-1]*x 
    if tmp%nums[i]==0:
        i-=1
    else:
        x+=1
        i=n-2
print tmp