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())
x = 2
checklist = [0 for i in xrange(n)]
table = []
while x<=max(nums):
    i=0
    while i<n:
        if nums[i]%x==0:
            checklist[i]=0
            nums[i] = nums[i]/x
        else:
            checklist[i]=1
        i+=1
    if 0 in checklist:
        table.append(x)
    else:
        x+=1
ans = 1
# print nums
# print table
if len(table)==0:
    for num in nums:
        ans *= num
else:
    for num in nums:
        ans *= num
    for y in table:
        ans *= y
print ans