#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template void take(vector& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif namespace solver { template struct In2 { T1 a; T2 b; friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; } }; template struct In3 { T1 a; T2 b; T3 c; friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; } }; ll n, m, p; vector vs; void read() { cin >> n >> m >> p; take(vs, n); } template void vec_unique(vector& v) { ranges::sort(v); auto result = ranges::unique(v); v.erase(result.begin(), result.end()); } template T chmin(T& a, T b) { return a = min(a, b); } template T chmax(T& a, T b) { return a = max(a, b); } using RetType = ll; RetType run() { vector kinds; for (ll d = 1; d * d <= m; ++d) { kinds.push_back(d); kinds.push_back(m / d); } vec_unique(kinds); vec_unique(vs); map vals; // [cost] => max possible a[i] for (int i : range(n)) { ll a = vs[i]; ll cost = 1; while (a % p == 0) a /= p, cost++; if (a == 1) continue; chmax(vals[cost], a); } map dp; ll maxval = *ranges::max_element(vs); for (auto key : kinds) { if (key <= maxval) dp[key] = 1; else { dp[key] = 1000; for (auto it : vals) { chmin(dp[key], dp[key / it.second] + it.first); } } } return dp[m] < 1000 ? dp[m] : -1; } } // namespace template void run(F f) { if constexpr (std::is_same_v) f(); else cout << f() << endl; } int main(int argc, char** argv) { cerr << fixed << setprecision(12); cout << fixed << setprecision(12); int testcase = 1; if (argc > 1) testcase = atoi(argv[1]); while (testcase--) { solver::read(); } run(solver::run); }