Problem: Today Pari and Arya are playing a game called Remainders.

Pari chooses two positive integer x and k, and tells Arya k but not x. Arya have to find the value <image>. There are n ancient numbers c1, c2, ..., cn and Pari has to tell Arya <image> if Arya wants. Given k and the ancient values, tell us if Arya has a winning strategy independent of value of x or not. Formally, is it true that Arya can understand the value <image> for any positive integer x?

Note, that <image> means the remainder of x after dividing it by y.

Input

The first line of the input contains two integers n and k (1 ≤ n, k ≤ 1 000 000) — the number of ancient integers and value k that is chosen by Pari.

The second line contains n integers c1, c2, ..., cn (1 ≤ ci ≤ 1 000 000).

Output

Print "Yes" (without quotes) if Arya has a winning strategy independent of value of x, or "No" (without quotes) otherwise.

Examples

Input

4 5
2 3 5 12


Output

Yes


Input

2 7
2 3


Output

No

Note

In the first sample, Arya can understand <image> because 5 is one of the ancient numbers.

In the second sample, Arya can't be sure what <image> is. For example 1 and 7 have the same remainders after dividing by 2 and 3, but they differ in remainders after dividing by 7.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class D {

    public static StringTokenizer tokenizer = null;
    public static BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));

    public static String nextToken() throws IOException {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(reader.readLine());
        }
        return tokenizer.nextToken();
    }

    public static int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    public static long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }

    public static double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }

    public static void main(String[] args) throws IOException {
        int n = nextInt();
        int k = nextInt();

        int[] c = new int[n];
        for (int i = 0; i < n; i++) {
            c[i] = nextInt();
        }

        int m = 1_000;
        boolean prime[] = new boolean[m + 1];
        prime[0] = prime[1] = false;
        for (int i = 2; i <= m; i++) {
            prime[i] = true;
        }

        for (int i = 2; i <= m; i++) {
            if (prime[i] && (long)(i) * (long)(i) <= m) {
                for (int j = i * i; j <= m; j += i) {
                    prime[j] = false;
                }
            }
        }

        List<Integer> list = new ArrayList<>();
        for (int i = 0; i <= m; i++) {
            if (prime[i]) {
                list.add(i);
            }
        }

        int kCopy = k;
        Map<Integer, Integer> kMap = new HashMap<>();
        for (int primeNumber: list) {
            while (kCopy % primeNumber == 0) {
                kCopy /= primeNumber;
                addToMap(kMap, primeNumber);
            }
        }
        if (kCopy != 1) {
            addToMap(kMap, kCopy);
        }

        Map<Integer, Boolean> bMap = new HashMap<>();
        Set<Integer> set = new HashSet<>();
        for (int key: kMap.keySet()) {
            int value = kMap.get(key);
            int number = 1;
            for (int i = 0; i < value; i++) {
                number *= key;
            }
            bMap.put(number, false);
            set.add(number);
        }

        for (int i = 0; i < n; i++) {
            for (int number: set) {
                if (c[i] % number == 0) {
                    bMap.put(number, true);
                }
            }
        }

        for (int key: set) {
            if (!bMap.get(key)) {
                System.out.println("No");
                return;
            }
        }
        System.out.println("Yes");
    }

    public static void addToMap(Map<Integer, Integer> map, int key) {
        if (!map.containsKey(key)) {
            map.put(key, 0);
        }
        map.put(key, map.get(key) + 1);
    }

}