#include <iostream>
#include <fstream>
using namespace std;
const int nmax=500005;
long long d[nmax],fv[nmax],val[nmax];
int n,q,p,i,l,r,t;
string s;
int num,ch;
int getnum()
{
num=0;
while(s[ch]>='0'&&s[ch]<='9')
num=num*10+s[ch]-'0',ch++;
ch++;
return num;
}
int calc(int x,int t)
{
int ret=0;
int vv;
if(t<x)
return 0;
for(int p=18;p>=0;p--)
{
vv=ret+(1<<p);
if(vv<=n&&(t/fv[vv])*(val[vv])-vv>=x)
ret+=(1<<p);
}
return ret+1;
}
int main()
{
//freopen("data.in","r",stdin);
ios_base::sync_with_stdio(false);
cin>>n>>q;getline(cin,s);
for(i=1;i<=n;i++)
{
getline(cin,s);
ch=0;d[i]=getnum();
if(i==1) fv[i]=d[i],val[i]=d[i];
else
{
if(val[i-1]<d[i])
{
fv[i]=(1LL*fv[i-1]*((d[i]+val[i-1]-1)/val[i-1]));
val[i]=(d[i]+val[i-1]-(d[i]%val[i-1]));
if(!(d[i]%val[i-1]))
val[i]=d[i];
}
else
{
fv[i]=fv[i-1];
val[i]=val[i-1];
}
fv[i]=min(fv[i],1LL*(1000*1000*1000+1));
}
}
for(i=1;i<=q;i++)
{
getline(cin,s);ch=0;
t=getnum();l=getnum();r=getnum();
cout<<calc(l,t)-calc(r+1,t)<<'\n';
}
return 0;
}
