#include using namespace std; #define pb push_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define rep(i,n) for(int i=0;i<(n);i++) constexpr int MOD = 1000000007; typedef long long ll; typedef unsigned long long ull; typedef pair pii; constexpr int dx[] = {1, 0, -1, 0, 1, 1, -1, -1}; constexpr int dy[] = {0, -1, 0, 1, 1, -1, -1, 1}; template ostream &operator<<(ostream &os, const vector &vec){os << "["; for (const auto &v : vec) {os << v << ","; } os << "]"; return os; } template ostream &operator<<(ostream &os, const pair &p){os << "(" << p.first << ", " << p.second << ")"; return os;} // \sum_{n = L_i ^ R_i} P - [P / n] * n // (R_i - L_i * 1) * P - \sum_{n = L_i ^ R_i} [P / n] * n ll solve(ll P, ll l, ll r) { set D; for(ll n = 1; n * n <= P; n++) { D.insert(-n); D.insert(-(P / n)); } ll ans = (r - l + 1) * P; for(auto d : D) { int ll, rr; d *= -1; int ng = 1e9 + 1; int ok = 0; while(ng - ok > 1) { int c = (ok + ng) / 2; if (P / c >= d) { ok = c; } else { ng = c; } } rr = ok; ng = 1e9 + 1; ok = 0; while(ng - ok > 1) { int c = (ok + ng) / 2; if (P / c > d) { ok = c; } else { ng = c; } } ll = ng; ll = max(l, 1LL * ll); rr = min(r, 1LL * rr); if (ll > rr) continue; ans -= d * (ll + rr) * (rr - ll + 1) / 2; } return ans; } void solve() { int P, Q; cin >> P >> Q; for (int q = 0; q < Q; q++) { int l, r; cin >> l >> r; cout << solve(P, l, r) << endl; } } int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); cout.setf(ios::fixed); cout.precision(16); solve(); return 0; }