#include <bits/stdc++.h>

#define int long long
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
using namespace std;
int inf=1000000000000000007;
int mod=1000000007;
int mod1=998244353;

const int N=500007;

int a[N];

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n,q;
    cin>>n>>q;
    for(int i=1;i<=n;i++) cin>>a[i];
    int act=1,L=0;
    vector<pair<pair<int,int>,int>>V;
    for(int i=1;i<=n;i++)
    {
        if(a[i]>act)
        {
            V.pb({{-L,-(i-1)},act});
            int t=(a[i]+act-1)/act;
            act*=t;
            L=i;
        }
    }
    V.pb({{-L,-n},act});
    while(q--)
    {
        int l,r,t;
        cin>>t>>l>>r;
        int ans=0;
        for(auto [p,x]:V)
        {
            int a=p.st+(t/x)*x,b=p.nd+(t/x)*x;
            //cout<<"XD "<<a<<" "<<b<<endl;
            ans+=max(0LL,min(a,r)-max(b,l)+1);
        }
        cout<<ans<<endl;
    }


    return 0;
}