Codeforces-solutions/Codeforces Round 1017 (Div. 4)/H. La Vaca Saturno Saturnita.cpp
2025-09-12 14:50:25 -03:00

158 lines
3.1 KiB
C++

/* Problem URL: https://codeforces.com/contest/2094/problem/H */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int inf = INT32_MAX >> 1;
static vvi vec(1e5 + 1);
struct persistent_vector {
set<int> used;
void insert(int num, int i) {
used.insert(num);
vec[num].push_back(i);
}
int get(int num, int i) {
auto itr = lower_bound(all(vec[num]), i);
if (itr == vec[num].end()) {
return inf;
}
return *itr;
}
~persistent_vector() {
for (auto i : used) {
vec[i].clear();
}
}
};
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
vvi muls(1e5 + 1);
nrep(i, 2, 1e5 + 1) {
for (int j = i; j <= 1e5; j += i) {
muls[j].push_back(i);
}
}
int t;
cin >> t;
while (t--) {
int n, q;
cin >> n >> q;
vi nums(n);
cin >> nums;
persistent_vector divs;
rep(i, n) {
divs.insert(nums[i], i);
}
while (q--) {
ll k, l, r;
cin >> k >> l >> r;
l--, r--;
int now = l;
ll ans = 0;
while (now <= r) {
ll tmp = inf;
for (auto i : muls[k]) {
rmin(tmp, (ll)divs.get(i, now));
}
rmin(tmp, r);
ans += k * (tmp - now);
while (k % nums[tmp] == 0) {
k /= nums[tmp];
}
now = tmp + 1;
ans += k;
if (k == 1) {
ans += r - now + 1;
break;
}
}
cout << ans << '\n';
}
}
}