题目描述输入描述:
输出描述:
输入
4 5 45 20 65 7 1 1 4 0 1 4 1 1 4 1 3 4 0 3 4 1 3 4 1 2 2
输出
5 2 4 2 6
两个操作,一个是区间开方,一个是输出区间GCD;gcd很好处理。主要是开放这个操作,假设区间sum==l-r+1就return,不是的话就取找辣个还不是1的点去单点更新,这样最多更新nlogn*8次左右(可能没算错~)~~就行了
#include<bits/stdc++.h>
using namespace std;
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define ll long long
const int maxn = 2e5 + 10;
ll gcd[maxn << 2], sum[maxn << 2];
long long GCD(long long a, long long b) {
return b ? GCD(b, a%b) : a;
}
void pushup(int rt) {
sum[rt] = sum[rt << 1] + sum[rt << 1 | 1];
gcd[rt] = GCD(gcd[rt << 1], gcd[rt << 1 | 1]);
}
void build(int l, int r, int rt) {
if (l == r) {
scanf("%lld", &sum[rt]);
gcd[rt] = sum[rt];
return;
}
int m = (l + r) >> 1;
build(lson); build(rson);
pushup(rt);
}
void updates(int L, int R, int l, int r, int rt) {
if (sum[rt] == r - l + 1)return;
if (l == r) {
sum[rt] = sqrt(sum[rt]);
gcd[rt] = sum[rt];
return;
}
int m = (l + r) >> 1;
if (L <= m)updates(L, R, lson);
if (m < R)updates(L, R, rson);
pushup(rt);
}
ll query(int L, int R, int l, int r, int rt) {
if (L <= l&&r <= R) {
return gcd[rt];
}
int m = (l + r) >> 1;
ll ans;
if (L <= m) {
ans = query(L, R, lson);
if (m < R)
ans = GCD(ans, query(L, R, rson));
}
else ans = query(L, R, rson);
return ans;
}
int main() {
int n;
scanf("%d", &n);
build(1, n, 1);
int q; scanf("%d", &q);
while (q--) {
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
if (a == 1) {
printf("%lld\n", query(b, c, 1, n, 1));
}
else {
updates(b, c, 1, n, 1);
}
}
return 0;
}