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 = int(input())
l = list(map(int,input().split()))

def elements(dim):
    ans = []
    cnt = 2
    while cnt <= dim:
        if dim % cnt == 0:
            dim //= cnt
            ans.append(int(cnt))
            cnt = 2
        else:
            cnt += 1
    return ans

l_e = []

for i in l:
    i_e = elements(i)
    for j in i_e:
        if j in l_e:
            l_e.remove(j)
    l_e += i_e

out = 1
for i in l_e:
    out *= i
print(out)
