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<iostream>
using namespace std;
int main()
{
	int n,a[10],b[10];
	cin>>n;
	for(int i=1;i<=n;i++){
		cin>>a[i];
		b[i]=a[i];
	}
	for(int i=1;i<n;i++){
		while(true){
			if(a[i]>a[i+1]){
				a[i]=a[i]%a[i+1];
			}else{
				a[i+1]=a[i+1]%a[i];
			}
			if(a[i]==0||a[i+1]==0){
				a[i+1]=(a[i] > a[i+1]) ? a[i] : a[i+1];
				a[i+1]=b[i]/a[i+1]*b[i+1];
				b[i+1]=a[i+1];
				break;
			}
		}
	}
	cout<<b[n]<<endl;
	return 0;
}