/* Author : Mychecksdead  */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
#define ff first
#define ss second
#define pii pair<int,int>
#define vi vector<int>
const int N = 1e6+100, M = 1e5+10, K = 52, MX = 30;
int n, q;
ll d[N];
ll get(ll l1, ll r1, ll l, ll r){
  return max(0ll, min(r1 + 1, r + 1) - max(l1, l));
}
void solve(){
  cin >> n >> q;
  for(int i = 1; i <= n; ++i){
    cin >> d[i];
  } 
  vector<array<ll, 3>> C;
  C.pb({1, 1, d[1]});
  for(int i = 2; i <= n; ++i){
    if(d[i] <= C.back()[2]){
      C.back()[1]++;
    }else{
      ll x = C.back()[2];
      x = (d[i] + x-1) / x * x;
      C.pb({i, i, x});
    }
  }
  // for(auto [l, r, D]: C) cout << l << ' ' << r << ' ' << D << '\n';
  for(int i = 1; i <= q; ++i){
    ll t, l, r; cin >> t >> l >> r;
    ll ans = 0;
    for(int j = 0; j < C.size(); ++j){
      ll pos = -C[j][1] + (t/C[j][2] * C[j][2]);
      ans += get(pos, pos + C[j][1] - C[j][0], l, r);
    }
    cout << ans + (l <= t && t <= r) << '\n';
  }
}
int main(){
  cin.tie(0); ios::sync_with_stdio(0);
  int tt = 1, aa;
  // freopen("in.txt", "r", stdin);
  // freopen("out.txt", "w", stdout);
  while(tt--){
    solve();
  }
  cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
  return 0;
} 
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