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>
#include<string>
using namespace std;
int main(){
	int n,a,b;
	cin>>n;
	cin>>b;
	for(int i=0;i<n-1;i++){
		cin>>a;
		int ans=a*b;
		while(true){
			if(a>b)
				a-=b;
			if(a<b)
				b-=a;
			if(a==b)
				break;
		}
		ans/=a;
		b=ans;
	}
	cout<<b<<endl;
	return 0;
}