#include using namespace std; #include using namespace atcoder; #define ll long long #define rep(i, n) for (int i = 0; i < (n); i++) #define P pair #define LP pair #define fi first #define se second #define pb push_back #define eb emplace_back #define all(s) s.begin(), s.end() #define rall(s) s.rbegin(), s.rend() template void chmax(T& a, T b) { a = max(a, b); }; template void chmin(T& a, T b) { a = min(a, b); }; using mint = modint1000000007; int main() { int n, k; cin >> n >> k; vector a(n); rep(i,n) cin >> a[i]; vector kdiv; for (int i = 1; i*i <= k; i++) { if (k%i==0) { if (i*i==k) kdiv.pb(i); else { kdiv.pb(i); kdiv.pb(k/i); } } } vector g(n); rep(i,n) { g[i] = gcd(a[i],k); } sort(all(kdiv)); int m = kdiv.size(); vector dp(n+1, vector(m)); dp[0][0] = 1; rep(i,n) { rep(j,m) { dp[i+1][j] += dp[i][j]; for (int l = m-1; l >= j; l--) { if ((g[i]*kdiv[j])%kdiv[l] == 0) { dp[i+1][l] += dp[i][j]; break; } } } } cout << dp[n][m-1].val() << endl; return 0; }