#include <bits/stdc++.h>
#include <cassert>
typedef long long int ll;
using namespace std;

// @@ !! LIM(debug)
// --> f:<< debug
// ---- inserted function << from util.cc
template <typename T1, typename T2>
ostream& operator<< (ostream& os, const pair<T1,T2>& p) {
  os << "(" << p.first << ", " << p.second << ")";
  return os;
}

template <typename T1, typename T2, typename T3>
ostream& operator<< (ostream& os, const tuple<T1,T2,T3>& t) {
  os << "(" << get<0>(t) << ", " << get<1>(t)
     << ", " << get<2>(t) << ")";
  return os;
}

template <typename T1, typename T2, typename T3, typename T4>
ostream& operator<< (ostream& os, const tuple<T1,T2,T3,T4>& t) {
  os << "(" << get<0>(t) << ", " << get<1>(t)
     << ", " << get<2>(t) << ", " << get<3>(t) << ")";
  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const vector<T>& v) {
  os << '[';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << ']';

  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const set<T>& v) {
  os << '{';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << '}';

  return os;
}

template <typename T>
ostream& operator<< (ostream& os, const multiset<T>& v) {
  os << '{';
  for (auto it = v.begin(); it != v.end(); it++) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  os << '}';

  return os;
}

template <typename T1, typename T2>
ostream& operator<< (ostream& os, const map<T1, T2>& mp) {
  os << '[';
  for (auto it = mp.begin(); it != mp.end(); it++) {
    if (it != mp.begin()) os << ", ";
    os << it->first << ": " << it->second;
  }
  os << ']';

  return os;
}

template <typename T, typename T2, typename T3>
ostream& operator<< (ostream& os, const priority_queue<T, T2, T3>& orig) {
  priority_queue<T, T2, T3> pq(orig);
  bool first = true;
  os << '[';
  while (!pq.empty()) {
    T x = pq.top(); pq.pop();
    if (!first) os << ", ";
    os << x;
    first = false;
  }
  return os << ']';
}
// ---- end <<
// ---- inserted library file debug.cc
template <class... Args>
string dbgFormat(const char* fmt, Args... args) {
  size_t len = snprintf(nullptr, 0, fmt, args...);
  char buf[len + 1];
  snprintf(buf, len + 1, fmt, args...);
  return string(buf);
}

template <class Head>
void dbgLog(Head&& head) {
  cerr << head << endl;
}

template <class Head, class... Tail>
void dbgLog(Head&& head, Tail&&... tail)
{
  cerr << head << " ";
  dbgLog(forward<Tail>(tail)...);
}

#if DEBUG
  #define DLOG(...)        dbgLog(__VA_ARGS__)
  #define DFMT(...)        cerr << dbgFormat(__VA_ARGS__) << endl
  #define DCALL(func, ...) func(__VA_ARGS__)
#else
  #define DLOG(...)
  #define DFMT(...)
  #define DCALL(func, ...)
#endif

// ---- end debug.cc
// @@ !! LIM  -- end mark --

ll K, Q;
vector<ll> D;

ll solve(ll N, ll X, ll M) {
  vector<ll> E(K);
  ll cnt1 = 0;
  ll sum1 = 0;
  for (ll i = 0; i < K; i++) {
    E.at(i) = D.at(i) % M;
    if (E.at(i) > 0) cnt1++;
    sum1 += E.at(i);
  }
  DLOG("E=", E, "sum1=", sum1, "cnt1=", cnt1);
  ll rnd = (N - 1) / K;
  ll rem = (N - 1) % K;
  ll sum2 = 0;
  ll cnt2 = 0;
  for (ll i = 0; i < rem; i++) {
    if (E.at(i) > 0) cnt2++;
    sum2 += E.at(i);
  }
  DLOG("sum2=", sum2, "cnt2=", cnt2);
  ll sum = rnd * sum1 + sum2;
  ll cnt = rnd * cnt1 + cnt2;
  DLOG("sum=", sum, "cnt=", cnt);
  ll Y = X % M;
  ll reset = 0;
  if (Y + sum < M) reset = 0;
  else {
    sum -= (M - Y);
    reset = 1;
    reset += sum / M;
    DLOG("reset=", reset);
  }
  return cnt - reset;
}

int main(int argc, char *argv[]) {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << setprecision(20);

  cin >> K >> Q;
  for (ll i = 0; i < K; i++) {
    ll d; cin >> d;
    D.push_back(d);
  }
  for (ll i = 0; i < Q; i++) {
    ll n, x, m; cin >> n >> x >> m;
    cout << solve(n, x, m) << endl;
  }

  return 0;
}



Measured memory_bytes: 384