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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.StringReader;
import java.io.IOException;
import java.io.Reader;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Denis Nedelyaev
 */
public class Main {
    public static void main(String[] args) throws Exception {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskB solver = new TaskB(in, out);
        solver.solve(1);
        out.close();
    }

    static class TaskB {
        private final FastScanner in;
        private final PrintWriter out;

        public TaskB(FastScanner in, PrintWriter out) {
            this.in = in;
            this.out = out;
        }

        public void solve(int testNumber) throws IOException {
            int n = in.nextInt();
            int k = in.nextInt();
            int[] c = in.nextInts(n);

            boolean ans = realSolve(k, c);

            out.println(ans ? "Yes" : "No");
        }

        public boolean realSolve(int k, int[] c) {
            long lcm = 1;
            for (int x : c) {
                lcm = MathUtils.lcm(lcm, x);
                lcm = MathUtils.gcd(lcm, k);
            }
            return lcm == k;
        }

    }

    static class MathUtils {
        public static long gcd(long p, long q) {
            return q == 0 ? Math.abs(p) : gcd(q, p % q);
        }

        public static long lcm(long p, long q) {
            return p * q / gcd(p, q);
        }

    }

    static class FastScanner {
        private final BufferedReader br;
        private String line;
        private int pos;

        public FastScanner(String s) throws IOException {
            this(new StringReader(s));
        }

        public FastScanner(InputStream is) throws IOException {
            this(new InputStreamReader(is, "UTF-8"));
        }

        public FastScanner(Reader reader) throws IOException {
            this(new BufferedReader(reader));
        }

        public FastScanner(BufferedReader reader) throws IOException {
            br = reader;
            line = br.readLine();
            pos = 0;
        }

        public String next() throws IOException {
            if (!skipWhitespace()) {
                return null;
            }

            int start = pos;

            while (pos < line.length()) {
                char c = line.charAt(pos);

                if (c == ' ' || c == '\t') {
                    break;
                }

                pos++;
            }

            return line.substring(start, pos);
        }

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

        public int[] nextInts(int n) throws IOException {
            int[] res = new int[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextInt();
            }
            return res;
        }

        private boolean skipWhitespace() throws IOException {
            while (line != null) {
                while (pos < line.length()) {
                    char c = line.charAt(pos);

                    if (c != ' ' && c != '\t') {
                        return true;
                    }

                    pos++;
                }

                line = br.readLine();
                pos = 0;
            }

            return false;
        }

    }
}