#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef pair<int, int> PII;
template<class A, class B> ostream& operator <<(ostream& out, const pair<A, B> &p) {
    return out << "(" << p.first << ", " << p.second << ")";
}
template <typename T, size_t N>
ostream& operator <<(ostream& out, const array<T, N>& a) {
  out << "["; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T>
ostream& operator <<(ostream& out, const vector<T>& a) {
  out << "["; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const set<T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
  return out;
}
template <typename U, typename T, class Cmp>
ostream& operator <<(ostream& out, const map<U, T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}";
  return out;
}
template<class T> inline void YES(T condition) { 
    if(condition) cout << "YES" << endl;
    else cout << "NO" << endl;
}
template<class T> inline void Yes(T condition) {
    if(condition) cout << "Yes" << endl;
    else cout << "No" << endl;
}
template<class T> T gcd(T a, T b) {
    if(a && b) { return gcd(min(a, b), max(a, b) % min(a, b)); }
    else { return a; }
}
template<class T> T lcm(T a, T b){
    return a / gcd(a, b) * b;
}
long long qpow(long long a, long long b, int MOD) {
    if (b == 0) return 1;
    long long res = 1;
    while (b) {
        if (b & 1) res = (res * a) % MOD;
        a = (a * a) % MOD;
        b >>= 1;
    }
    return res;
}

const int MOD = 1e9 + 7;
const int maxn = 2e6;
int fac[maxn + 5];
int invfac[maxn + 5];
void init() {
    fac[0] = 1;
    for (int i = 1; i <= maxn; i++) fac[i] = 1LL * fac[i - 1] * i % MOD;
    invfac[maxn] = (int)(qpow(fac[maxn], MOD - 2, MOD));
    for (int i = maxn - 1; i >= 0; i--) invfac[i] = 1LL * invfac[i + 1] * (i + 1) % MOD;
}
int C(int n, int k) {
    assert(0 <= k && n >= k);
    int tmp = (int)(1LL * invfac[k] * invfac[n - k] % MOD);
    return (int)(1LL * fac[n] * tmp % MOD);
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    int k, q;
    cin >> k >> q;
    vector<int> d(k);
    for (int i = 0; i < k; i++) cin >> d[i];
    for (int qq = 0; qq < q; qq++) {
        int n, x, m;
        cin >> n >> x >> m;
        LL s = 0;
        LL count0 = 0;
        for (int i = 0; i < k; i++) {
            int d2 = d[i] % m;
            s += d2;
            count0 += (d2 == 0);
        }
        int times = (n - 1) / k;
        s *= times;
        count0 *= times;
        for (int i = 0 ; i < (n - 1) % k; i++) {
            int d2 = d[i] % m;
            s += d2;
            count0 += (d2 == 0);
        }
        s += x % m;
        // cout << (n - 1) << endl;
        // cout << (s / m) << endl;
        // cout << count0 << endl;
        cout << ((n - 1) - (s / m) - count0) << '\n';

    }

    return 0;
}


Measured memory_bytes: 384