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 <algorithm>

template <class T>
T gcd(T n, T m) {
    while (m != 0) {
        n %= m;
        std::swap(n, m);
    }
    return n;
}

int main() {
    int n;
    std::cin >> n;

    uint ans = 1;
    for (int i = 0; i < n; ++i) {
        uint a;
        std::cin >> a;
        ans *= a / gcd(ans, a);
    }
    std::cout << ans << std::endl;
}

