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
#include <stdio.h>

int gcd(int n, int m)
{
    if (m == 0) return n;
    return gcd(m, n%m);
}

int lcm(int n, int m)
{
    int g = gcd(n, m);
    return g * (n/g) * (m/g);
}

int main()
{
    int n;
    int a[1<<4];
    int l;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) scanf("%d", a + i);
    l = 1;
    for (int i = 0; i < n; i++) l = lcm(a[i], l);
    printf("%d\n", l);
    return 0;
}

