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 gcm(a,b):
    if a < b:
        a,b = b,a
    while True:
        if a % b == 0:
            return b
        else:
            a,b = b,a % b

def lcm(a,b):
    g = gcm(a,b)
    return a*b//g;

n = int(input())
Data = list(map(int,input().split()))
ans = lcm(Data[0],Data[1])
for i in range(2,len(Data)):
    ans = lcm(ans,Data[i])
print(ans)
