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

见题面

见题面