#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) { a = max(a, b); } template void chmin(T& a, const T& b) { a = min(a, b); } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint1000000007; std::vector divisors(long long x) { std::vector res1, res2; long long d = 1; for(; d * d < x; d++) { if (x % d == 0) { res1.push_back(d); res2.push_back(x / d); } } if (d * d == x) res1.push_back(d); int sz = res2.size(); res1.reserve(res1.size() + sz); for(int i = sz - 1; i >= 0; i--) res1.push_back(res2[i]); return res1; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, k; cin >> n >> k; auto ds = divisors(k); map> dp; dp[1] = 1; rep(_, n) { ll x; cin >> x; x = gcd(k, x); for(auto& [d, v]: dp) { dp[gcd(k, x * d)] += v; } } if (k == 1) dp[k]--; cout << dp[k].val() << '\n'; }