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原文:http://m.blog.csdn.net/blog/cqs_2012/17849877
有两个字符串A和B,对A可以进行如下的操作:插入一个字符,删除一个字符,替换一个字符。问A可以通过最少多少次操作变为B?我们定义这个结果为字符串的最小编辑距离。
字符串编辑距离归为DP题目,所以还是超好的
1 for(int i = 0;i<int(b.size()+1);i++) 2 dp[i] = new int[a.size()+1]; 3 for(int i = 0; i<int(a.size()+1);i++) 4 dp[0][i] = i; 5 for(int i = 1; i<int(b.size()+1);i++) 6 dp[i][0] = i; 7 for(int i = 1; i<int(b.size()+1);i++) 8 for(int j=1; j<int(a.size()+1);j++) 9 if( a[j-1] != b[i-1] ) 10 dp[i][j] = min (dp[i-1][j],dp[i][j-1],dp[i-1][j-1])+1; 11 else 12 dp[i][j] = min (dp[i-1][j]+1,dp[i][j-1]+1,dp[i-1][j-1]); 13 return dp[b.size()][a.size()];
1 #include<iostream> 2 #include<string> 3 using namespace std; 4 5 // get the minest number of three numbers 6 int min(int a,int b,int c); 7 8 // get the minest distance of string a and b 9 int zifuchuan_bianji_juli(string a,string b); 10 11 12 int main() 13 { 14 string a,b; 15 cout<<"please input string a and b"<<endl; 16 cin>>a>>b; 17 cout<<"a=\""<<a<<"\",b=\""<<b<<"\""<<endl; 18 cout<<"字符串距离为: "<<zifuchuan_bianji_juli(a,b)<<endl; 19 system("pause"); 20 return 0; 21 } 22 23 int zifuchuan_bianji_juli(string a,string b) 24 { 25 if( a.empty() ) 26 return int( b.size() ); 27 else if( b.empty()) 28 return int( a.size() ) ; 29 30 int ** dp = new int*[ b.size()+1 ]; 31 for(int i = 0;i<int(b.size()+1);i++) 32 dp[i] = new int[a.size()+1]; 33 for(int i = 0; i<int(a.size()+1);i++) 34 dp[0][i] = i; 35 for(int i = 1; i<int(b.size()+1);i++) 36 dp[i][0] = i; 37 for(int i = 1; i<int(b.size()+1);i++) 38 for(int j=1; j<int(a.size()+1);j++) 39 if( a[j-1] != b[i-1] ) 40 dp[i][j] = min (dp[i-1][j],dp[i][j-1],dp[i-1][j-1])+1; 41 else 42 dp[i][j] = min (dp[i-1][j]+1,dp[i][j-1]+1,dp[i-1][j-1]); 43 return dp[b.size()][a.size()]; 44 } 45 46 int min(int a,int b,int c) 47 { 48 if(a>b) 49 { 50 if(b>c) 51 return c; 52 else return b; 53 }else if(a>c) 54 return c; 55 else return a; 56 }
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原文地址:http://www.cnblogs.com/Sky-Yanjun/p/4971125.html