#include #if __has_include() #include using namespace atcoder; #endif #define rep(i, n) for (int i = 0; i < (n); ++i) using std::cin; using std::cout; using std::map; using std::vector; using ll = long long; using mint = modint1000000007; inline ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a%b); } int main() { int n, k; cin >> n >> k; vector a(n); rep(i, n) cin >> a[i]; rep(i, n) a[i] = gcd(a[i], k); vector f; for(ll i = 1; i*i <= k; ++i) { if (k % i == 0) { f.push_back(i); if (k/i != i) f.push_back(k/i); } } sort(f.begin(), f.end()); int m = f.size(); map mp; rep(i, m) mp[f[i]] = i; vector dp(n+1, vector(m)); dp[0][0] = 1; rep(i, n) { rep(j, m) { dp[i+1][j] += dp[i][j]; ll g = gcd(f[j]*a[i], k); dp[i+1][mp[g]] += dp[i][j]; } } mint ans = dp[n][m-1]; if (k == 1) ans -= 1; cout << ans.val() << '\n'; return 0; }