이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = a; i < b; ++i)
#define REP(i, n) FOR(i, 0, n)
#define _ << " " <<
#define sz(x) ((int) x.size())
#define pb(x) push_back(x)
#define TRACE(x) cerr << #x << " = " << x << endl
typedef long long ll;
typedef pair<int, int> point;
const int mod = 1e9 + 7;
int add(int x, int y) {x += y; if(x >= mod) return x - mod; return x;}
int sub(int x, int y) {x -= y; if(x < 0) return x + mod; return x;}
int mul(int x, int y) {return (ll) x * y % mod;}
const int off = 1 << 17;
struct Node{
  vector <point> prefix = {}, suffix = {};
  ll sum = 0;
  Node(){}
  Node(int val){
    prefix.clear(); suffix.clear();
    prefix.pb(point(val, 1));
    suffix.pb(point(val, 1));
    if(val > 1)
      sum = 1;
    else
      sum = 0;
  }
};
Node merge( Node A, Node B ){
  if(A.prefix.empty()) return B;
  if(B.prefix.empty()) return A;
  //assert(!A.prefix.empty() || !B.prefix.empty());
  Node ret = Node();
  ret.prefix = A.prefix;
  ret.suffix = B.suffix;
  ret.sum = A.sum + B.sum;
  REP(i, sz(B.prefix)){
    int tmp = __gcd(A.prefix.back().first, B.prefix[i].first);
    if(sz(ret.prefix) && tmp == ret.prefix.back().first)
      ret.prefix[ sz(ret.prefix) - 1 ].second += B.prefix[i].second;
    else
      ret.prefix.pb(point(tmp, B.prefix[i].second));
  }
  REP(i, sz(A.suffix)){
    int tmp = __gcd(B.suffix.back().first, A.suffix[i].first);
    if(sz(ret.suffix) && tmp == ret.suffix.back().first)
      ret.suffix[ sz(ret.suffix) - 1 ].second += A.suffix[i].second;
    else
      ret.suffix.pb(point(tmp, A.suffix[i].second));
  }
  int rt = -1;
  ll rt_sum = 0;
  for(int i = sz(A.suffix) - 1; i >= 0; --i){
    while(rt + 1 < sz(B.prefix) && __gcd(B.prefix[rt + 1].first, A.suffix[i].first) > 1){
      rt_sum += B.prefix[rt + 1].second;
      rt ++;
    }
    if(rt != -1 && __gcd(B.prefix[rt].first, A.suffix[i].first) > 1)
      ret.sum += (ll)A.suffix[i].second * rt_sum;
  }
  return ret;
}
struct Tournament{
  Node t[2 * off];
  Tournament(){ REP(i, 2 * off) t[i] = Node(); }
  void update(int x, int val){
    x += off;
    t[x] = Node(val);
    for(x >>= 1; x > 0; x >>= 1)
      t[x] = merge(t[x * 2], t[x * 2 + 1]);
  }
  Node get(int x, int lo, int hi, int a, int b){
    if(lo >= b || hi <= a) return Node(1);
    if(lo >= a && hi <= b) return t[x];
    int mid = (lo + hi) >> 1;
    Node lt = get(x * 2, lo, mid, a, b);
    Node rt = get(x * 2 + 1, mid, hi, a, b);
    //TRACE(lt.sum); TRACE(rt.sum);
    return merge(lt, rt);
    return merge(get(x * 2, lo, mid, a, b),
                 get(x * 2 + 1, mid, hi, a, b));
  }
} T;
int n, q;
int main(){
  ios_base::sync_with_stdio(false); cin.tie(0);
  cin >> n >> q;
  REP(i, n){
    int x; cin >> x;
    T.update(i, x);
  }
  REP(i, q){
    int tip; cin >> tip;
    if(tip == 1){
      int x, v; cin >> x >> v;
      T.update(x - 1, v);
    }
    else{
      int l, r; cin >> l >> r;
      l --; r --;
      cout << T.get(1, 0, off, l, r + 1).sum << "\n";
    }
  }
}
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