#include <bits/stdc++.h>
using namespace std;
#define oo 1e18
#define fi first
#define se second
#define sp(iiii) setprecision(iiii)
#define IO ios_base::sync_with_stdio(false); cin.tie(0)
#define ms(aaaa,xxxx) memset(aaaa,xxxx,sizeof(aaaa))
#define cntbit(xxxx) __builtin_popcount(xxxx)
#define getbit(xxxx,aaaa) ((xxxx>>(aaaa-1))&1)
#define _cos(xxxx) cos(xxxx*acos(-1)/180)
#define _sin(xxxx) sin(xxxx*acos(-1)/180)
#define _tan(xxxx) tan(xxxx*acos(-1)/180)
#define PE cout<<fixed
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<pair<int,int>,int> piii;
typedef pair<long long,long long> pll;
typedef pair<pair<long long,long long>,long long> plll;
const ld pi=acos(-1);
ll n,q,i,a[500009],b[500009],pos,t,lt,rt,l,r,mid,rres,lres;
int main(){
IO;
cin>>n>>q;
for (i=1;i<=n;i++) {
cin>>a[i];
}
b[0]=1;
for (i=1;i<=n;i++) {
b[i]=((a[i]+b[i-1]-1)/b[i-1])*b[i-1];
}
for (i=1;i<=q;i++) {
cin>>t>>lt>>rt;
l=-1;
r=n+1;
while ((l+1)!=r) {
mid=(r+l)/2;
pos=(t/b[mid])*b[mid]-mid;
//cout<<l<<' '<<r<<' '<<mid<<' '<<pos<<'\n';
if (pos>=lt) {
l=mid;
}
else {
r=mid;
}
}
//cout<<l<<' '<<r<<'\n';
rres=r;
l=-1;
r=n+1;
while ((l+1)!=r) {
mid=(r+l)/2;
pos=(t/b[mid])*b[mid]-mid;
//cout<<l<<' '<<r<<' '<<mid<<' '<<pos<<'\n';
if (pos<=rt) {
r=mid;
}
else {
l=mid;
}
}
//cout<<l<<' '<<r<<'\n';
lres=r;
cout<<rres-lres<<'\n';
//cout<<"------------\n";
}
}
