HDU 5223 GCD
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题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5223
题面:
GCD
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 4 Accepted Submission(s): 0
Problem Description
In mathematics, the greatest common divisor (gcd) of two or more integers, when at least one of them is not zero, is the largest positive integer that divides the numbers without a remainder. For example, the GCD of 8 and 12 is 4.---Wikipedia
BrotherK and Ery like playing mathematic games. Today, they are playing a game with GCD.
BrotherK has an arrayA with N elements: A1 ~ AN , each element is a integer in [1, 10^9]. Ery has Q questions, the i-th question is to calculate
GCD(ALi, ALi+1, ALi+2, ..., ARi ), and BrotherK will tell her the answer.
BrotherK feels tired after he has answeredQ questions, so Ery can only play with herself, but she don't know any elements in array A . Fortunately, Ery remembered all her questions and BrotherK's answer, now she wants to recovery the array A .
BrotherK and Ery like playing mathematic games. Today, they are playing a game with GCD.
BrotherK has an array
GCD(
BrotherK feels tired after he has answered
Input
The first line contains a single integer T , indicating the number of test cases.
Each test case begins with two integersN, Q , indicating the number of array A , and the number of Ery's questions. Following Q lines, each line contains three integers Li, Ri and Ansi , describing the question and BrotherK's answer.
T is about 10
2 ≤ N Q ≤ 1000
1 ≤ Li < Ri ≤ N
1 ≤ Ansi ≤ 109
Each test case begins with two integers
Output
For each test, print one line.
If Ery can't find any array satisfy all her question and BrotherK's answer, print "Stupid BrotherK!" (without quotation marks). Otherwise, printN integer, i-th integer is Ai .
If there are many solutions, you should print the one with minimal sum of elements. If there are still many solutions, print any of them.
If Ery can't find any array satisfy all her question and BrotherK's answer, print "Stupid BrotherK!" (without quotation marks). Otherwise, print
If there are many solutions, you should print the one with minimal sum of elements. If there are still many solutions, print any of them.
Sample Input
22 21 2 11 2 22 11 2 2
Sample Output
Stupid BrotherK!2 2
Source
赛码"BestCoder"杯中国大学生程序设计冠军赛
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hujie
解题:出现不可能的情况是,A区间的长度比B的大,而公约数却比B大,那么是不可能发生的,排除掉这一点就可以了。因为数据量不大,先把每个位置初始值赋值为1,只要枚举过去,找出每一个位置和该区间的公约数C的公约数D,如果该位置的数能整除C,不做操作。如果不能整除就将该点的值乘上C/D(现在想想也不用分类,直接乘上C/D也行,两种方法效率上差不多 )这样出来就可以保证是最小值了。代码中的排序多此一举了。
代码:
#include <cstdio>#include <algorithm>using namespace std;long long int store[1005];struct info{ long long int fm,to,val;}storage[1005];int gcd (long long int a,long long int b){ if(a==0)return b; else return gcd(b%a,a);}bool cmp(info a,info b){ return a.val>b.val;}int main(){ long long int n,q,l,r,tmp,cnt,x,t; bool flag; scanf("%I64d",&t); while(t--) { scanf("%I64d%I64d",&n,&q); cnt=0; flag=true; for(long long int i=1;i<=q;i++) { scanf("%I64d%I64d%I64d",&l,&r,&tmp); storage[cnt].fm=l; storage[cnt].to=r; storage[cnt].val=tmp; cnt++; if(flag) { for(long long int j=0;j<cnt;j++) { if((l<=storage[j].fm&&r>=storage[j].to&&tmp>storage[j].val)||(storage[j].fm<=l&&storage[j].to>=r&&storage[j].val>tmp)) { flag=false; break; } } } } if(flag) { //sort(storage+1,storage+n+1,cmp); for(long long int j=1;j<=n;j++) store[j]=1; for(long long int j=0;j<cnt;j++) { l=storage[j].fm; r=storage[j].to; tmp=storage[j].val; for(long long int k=l;k<=r;k++) { if(store[k]%tmp==0) continue; else { x=gcd(store[k],tmp); store[k]*=tmp/x; } } } printf("%I64d",store[1]); for(long long int i=2;i<=n;i++) printf(" %I64d",store[i]); printf("\n"); } else { printf("Stupid BrotherK!\n"); } } return 0;}
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