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 a,int b){
	if(b==0) return a;
	return gcd(b,a%b);
}

int lcm(int a,int b){
	return a*b/gcd(a,b);
}

int main(void){
    int n;
    scanf("%d",&n);
    int a,b;
    scanf("%d",&a);
    for(int i=1;i<n;i++){
        scanf("%d",&b);
        a=lcm(a,b);
    }
    printf("%d\n",a);
}
