/* Aa^~ kokoro ga pyonpyon suru n jaa^~
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// NNNNNHD(~(zo~zXrrrQdHHMMNMHHHHHHHHHHHHHHHHHHHHHH##HNmyrdKkwZ ` _``-zwrt1~~_<(MNM
// MMMMM#<<_jwr:(Z4QHHMMHMHHHHHHHHHHHHHHHHHHHHHHHHHHHH###NHSXZ>` ~````.OXtt>~._<?MM
*/
#include<bits/stdc++.h>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x...) do { cout << "\033[32;1m " << #x << " -> "; err(x); } while (0)
void err() { cout << "\033[39;0m" << endl; }
template<template<typename...> class T, typename t, typename... A>
void err(T<t> a, A... x) { for (auto v: a) cout << v << ' '; err(x...); }
template<typename T, typename... A>
void err(T a, A... x) { cout << a << ' '; err(x...); }
#else
#define dbg(...)
#endif
typedef long long ll;
typedef pair<int,int> pi;
typedef vector<int> vi;
template<class T> using vc=vector<T>;
template<class T> using vvc=vc<vc<T>>;
template<class T> void mkuni(vector<T>&v)
{
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}
ll rand_int(ll l, ll r) //[l, r]
{
    static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
    return uniform_int_distribution<ll>(l, r)(gen);
}
template<class T>
void print(T x,int suc=1)
{
    cout<<x;
    if(suc==1) cout<<'\n';
    else cout<<' ';
}
template<class T>
void print(const vector<T>&v,int suc=1)
{
    for(int i=0;i<v.size();i++)
    print(v[i],i==(int)(v.size())-1?suc:2);
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int k,q;
    cin>>k>>q;
    vi d(k);
    for(int i=0;i<k;i++)
        cin>>d[i];
    while(q--)
    {
        int n,x,m;
        cin>>n>>x>>m;
        x%=m;
        int ans=0;
        vi cd(k);
        ll las=x;
        for(int i=0;i<k;i++)
        {
            cd[i]=d[i]%m;
            if(!cd[i]) ans+=(n-1)/k+((n-1)%k>i);
            las+=1LL*(n-1)/k*cd[i]+((n-1)%k>i)*cd[i];
        }
        //dbg(las);
        ans+=las/m;
        print(n-1-ans);
    }
}

Measured memory_bytes: 384