/* #region Head */ // #include #include #include #include #include // assert.h #include // math.h #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) \ for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) \ for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) \ for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) \ for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; // 前方宣言 template istream &operator>>(istream &is, vc &vec); template ostream &operator<<(ostream &os, const vc &vec); template ostream &operator>>(ostream &os, const vc &vec); template istream &operator>>(istream &is, array &arr); template ostream &operator<<(ostream &os, const array &arr); template ostream &operator>>(ostream &os, const array &arr); template istream &operator>>(istream &is, pair &pair_var); template ostream &operator<<(ostream &os, const pair &pair_var); template ostream &out_iter(ostream &os, const T &map_var); template ostream &operator<<(ostream &os, const map &map_var); template ostream &operator<<(ostream &os, const um &map_var); template ostream &operator<<(ostream &os, const set &set_var); template ostream &operator<<(ostream &os, const us &set_var); template ostream &operator<<(ostream &os, const pq &pq_var); template ostream &operator<<(ostream &os, const queue &queue_var); template ostream &operator<<(ostream &os, const stack &stk_var); template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template ostream &operator<<(ostream &os, tuple &a) { if constexpr (N < std::tuple_size_v>) { os << get(a); if constexpr (N + 1 < std::tuple_size_v>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<< (os, a); } return os; } template void print_tuple(tuple &a) { operator<< <0, true>(std::cout, a); } void pprint() { std::cout << endl; } template void pprint(Head &&head, Tail &&...tail) { std::cout << head; if (sizeof...(Tail) > 0) std::cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ assert((std::cin >> __VA_ARGS__)); template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), std::cin.tie(nullptr), std::cout.tie(nullptr); std::cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) std::cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { std::cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { std::cout << (p ? "YES" : "NO") << endl; } template constexpr void operator--(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } template constexpr void operator++(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]++; } /* #endregion */ // #include // using namespace atcoder; struct Sieve { int n; int sqrtn; vc sieve; // sieve[i] := i の最小の素因数 // コンストラクタ.前処理を行う. Sieve(int n) : n(n), sqrtn((int)sqrtl(n)), sieve(n + 1) { iota(ALL(sieve), 0); // 各要素をインデックスで初期化(0, 1, ..., // n).使用するのは 2, 3, ... REPM(i, 2, sqrtn) { if (sieve[i] < i) continue; // i は合成数 // assert(i は素数) sieve[i] = i; // n 以下の任意の i の倍数 j について,j が i // 未満の素数で割れなかった場合 REPMD(j, i * i, n, i) if (sieve[j] == j) sieve[j] = i; // j の最小の素因数は i } } // 素因数分解クエリ,O(log n) vc pfd(int m) const { assert(m <= n); vc prime_factors; while (m > 1) { prime_factors.push_back(sieve[m]); m /= sieve[m]; } return prime_factors; } // 素因数分解クエリ,O(log n) map pfd_map(int m) const { assert(m <= n); map prime_factors; // while (m > 1) { prime_factors[sieve[m]]++; m /= sieve[m]; } return prime_factors; } // m が素数かどうかを返す bool is_prime(const int m) const { return sieve[m] == m; // } // n 以下の素数一覧を返す vc primes() const { vc ret; REPM(i, 2, n) if (is_prime(i)) ret.push_back(i); return ret; } // a の約数を列挙する vc devisors(const int a) const { assert(a <= n); map mp = pfd_map(a); vc> V; // mp をベクトルに変換したもの for (auto pa : mp) { V.push_back(pa); } // 戻り値(入れ物) vc Y; auto dfsd = [&Y, &V](auto &&dfsd, int cur_idx, int cur_val) -> void { if (cur_idx == (int)V.size()) { // 値が完成 Y.push_back(cur_val); return; } const auto [v, c] = V[cur_idx]; // p乗を全通り試す (0, ..., p乗) int mul = 1; REP(p, 0, c + 1) { dfsd(dfsd, cur_idx + 1, cur_val * mul); mul *= v; } return; }; dfsd(dfsd, 0, 1); sort(ALL(Y)); return Y; } }; // Problem void solve() { VAR(ll, n, q); vll a(n); cin >> a; vll l(q), r(q), k(q); REP(i, 0, q) cin >> l[i], r[i], k[i]; l--; set st(ALL(k)); Sieve s(100'000 + 11); // 約数ごとに,インデックスのリストを作る map mp; REP(i, 0, n) { const vc divisors = s.devisors(a[i]); // for (const auto &v : divisors) { if (not st.contains(v)) continue; mp[v].push_back(i); } } vll ans(q, -1); REP(i, 0, q) { if (not mp.contains(k[i])) { ans[i] = 0; continue; } const auto lb = lower_bound(ALL(mp[k[i]]), l[i]); const auto ub = lower_bound(ALL(mp[k[i]]), r[i]); ans[i] = ub - lb; } REP(i, 0, q) { pprint(ans[i]); // } } // entry point int main() { solve(); return 0; }