#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops,inline")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt")
using namespace std;
#define int long long
#define double long double
#define codetiger_orz cin.tie(0);cin.sync_with_stdio(0);
signed main() {
codetiger_orz
int n, q;
cin >> n >> q;
vector<int> d(n + 1), cyc(n + 1);
cyc[0] = d[0] = 1;
for (int i = 1; i <= n; i++){
cin >> d[i];
cyc[i] = (d[i] + cyc[i - 1] - 1) / cyc[i - 1] * cyc[i - 1];
}
while (q--){
int t, l, r;
cin >> t >> l >> r;
int ll = 0, rr = n;
while (ll < rr){
int mid = (ll + rr + 1) / 2;
if (-1 * mid + t / cyc[mid] * cyc[mid] >= l){
ll = mid;
}
else{
rr = mid - 1;
}
}
int L = ll;
ll = 0; rr = n;
while (ll < rr){
int mid = (ll + rr) / 2;
if (-1 * mid + t / cyc[mid] * cyc[mid] > r){
ll = mid + 1;
}
else{
rr = mid;
}
}
if (t / cyc[0] * cyc[0] < l){
L--;
}
if (-1 * n + t / cyc[n] * cyc[n] > r){
ll++;
}
cout << L - ll + 1 << "\n";
}
}
/*
____ ___ ___ ____ _____ ____ ____ ___
| | | | \ | | /| | | | \
| | | | | |____ | | | _ |____ |___/
| | | | | | | | | | | | \
|____ |___| |___/ |____ | __|__ |____| |____ | \
*/
