Bash and a Tough Math Puzzle 【CodeForces - 914D】【线段树】

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题目链接


  有两种操作:

1、询问[l, r]区间内改变一个数,是否可以将它的gcd()的值变成x;

2、将i位置上的值改变成y。

  然后怎么去处理gcd(),因为可以改变一个,那么线段树去查询这个区间最少要改变的数的个数不就可以了。


#include <iostream>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <algorithm>
#include <limits>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
#define lowbit(x) ( x&(-x) )
#define pi 3.141592653589793
#define e 2.718281828459045
#define INF 0x3f3f3f3f
#define HalF (l + r)>>1
#define lsn rt<<1
#define rsn rt<<1|1
#define Lson lsn, l, mid
#define Rson rsn, mid+1, r
#define QL Lson, ql, qr
#define QR Rson, ql, qr
#define myself rt, l, r
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
const int maxN = 5e5 + 7;
int gcd(int a, int b) { return b ? gcd(b, a%b) : a; }
int N, M, tree[maxN<<2], sum;
inline void pushup(int rt) { tree[rt] = gcd(tree[lsn], tree[rsn]); }
void buildTree(int rt, int l, int r)
{
    if(l == r) { scanf("%d", &tree[rt]); return; }
    int mid = HalF;
    buildTree(Lson);
    buildTree(Rson);
    pushup(rt);
}
void update(int rt, int l, int r, int qx, int val)
{
    if(l == r) { tree[rt] = val; return; }
    int mid = HalF;
    if(qx <= mid) update(Lson, qx, val);
    else update(Rson, qx, val);
    pushup(rt);
}
void query(int rt, int l, int r, int ql, int qr, int val)
{
    if(sum > 1) return;
    if(l == r) { sum++; return; }
    int mid = HalF;
    if(ql <= mid && tree[lsn] % val) query(QL, val);
    if(qr > mid && tree[rsn] % val) query(QR, val);
}
int main()
{
    scanf("%d", &N);
    buildTree(1, 1, N);
    scanf("%d", &M);
    int op, x, y, z;
    while(M--)
    {
        scanf("%d%d%d", &op, &x, &y);
        if(op == 1)
        {
            scanf("%d", &z);
            sum = 0;
            query(1, 1, N, x, y, z);
            printf(sum <= 1 ? "YES\n":"NO\n");
        }
        else update(1, 1, N, x, y);
    }
    return 0;
}

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