1038 Recover the Smallest Number (30 分)

1038 Recover the Smallest Number (30 分)

Given a collection of number segments, you are supposed to recover the smallest number from them. For example, given { 32, 321, 3214, 0229, 87 }, we can recover many numbers such like 32-321-3214-0229-87 or 0229-32-87-321-3214 with respect to different orders of combinations of these segments, and the smallest number is 0229-321-3214-32-87.

Input Specification:

Each input file contains one test case. Each case gives a positive integer N (≤10?4??) followed by N number segments. Each segment contains a non-negative integer of no more than 8 digits. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the smallest number in one line. Notice that the first digit must not be zero.

Sample Input:

5 32 321 3214 0229 87

Sample Output:

22932132143287

题意:输入n个非负数数,求这n个数字组成的最小数

分析:贪心,对各个字符串排序,如果直接从小到大排序,会出现错误,比如32和321,排序后合并为32321,显然32132比它更小。

注意到这点题目就好做了,对sort自定义比较函数,a+b<b+a,那么让a+b在前面即可。

有个测试点是去掉前导0的时候可能字符串长度会变成0,此时直接输出0。

 1 /**
 2 * Copyright(c)
 3 * All rights reserved.
 4 * Author : Mered1th
 5 * Date : 2019-02-26-11.49.45
 6 * Description : A1038
 7 */
 8 #include<cstdio>
 9 #include<cstring>
10 #include<iostream>
11 #include<cmath>
12 #include<algorithm>
13 #include<string>
14 #include<unordered_set>
15 #include<map>
16 #include<vector>
17 #include<set>
18 using namespace std;
19 const int maxn=10010;
20 string a[maxn];
21 bool cmp(string a,string b){
22     return a+b<b+a;  //如果a+b<b+a,把a+b排在前面
23 }
24 int main(){
25 #ifdef ONLINE_JUDGE
26 #else
27     freopen("1.txt", "r", stdin);
28 #endif
29     int n;
30     cin>>n;
31     for(int i=0;i<n;i++){
32         cin>>a[i];
33     }
34     sort(a,a+n,cmp);
35     string ans="";
36     for(int i=0;i<n;i++){
37         ans+=a[i];
38     }
39     while(ans[0]==‘0‘){
40         ans.erase(ans.begin());
41     }
42     if(ans.size()) cout<<ans;
43     else cout<<"0";
44     return 0;
45 }
 

原文地址:https://www.cnblogs.com/Mered1th/p/10436431.html

时间: 2024-08-29 22:14:29

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博主欢迎转载,但请给出本文链接,我尊重你,你尊重我,谢谢~http://www.cnblogs.com/chenxiwenruo/p/6789138.html特别不喜欢那些随便转载别人的原创文章又不给出链接的所以不准偷偷复制博主的博客噢~~ 题意:给出n个数,求拼接后值最小的数是多少. 一开始就简单的把所有字符串先从小到大拍个序,然后拼接起来去掉前导零,结果发现有个问题,比如下面两个32 32321如果按常规字符串比较,32是在32321前面.然而,32321-32才是较小的方案如何有个好的比较

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