📄 fangfa2.cpp
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//来自网上,很直观,摘录下来了
#include <iostream>
using namespace std;
const Limit_Size=20;
int main()
{
int i,j,k,m,n;
char s1[Limit_Size],s2[Limit_Size],s[Limit_Size];
cout<<"请输入第一个子序列:";
cin>>s1;
m=strlen(s1);
cout<<"请输入第二个子序列:";
cin>>s2;
n=strlen(s2);
//为二维数组开辟空间
int **b = new int*[m+1];
for ( i = 0; i < m+1; i++)
{
b[i] = new int[n+1];
}
int **c = new int*[m+1];
for ( i = 0; i < m+1; i++)
{
c[i] = new int[n+1];
}
for(i=0;i<=m;i++) {c[i][0]=0;b[i][0]=0;}
for(i=0;i<=n;i++) {c[0][i]=0;b[0][i]=0;}
for(i=1;i<=m;i++)
for(j=1;j<=n;j++)
if(s1[i-1]==s2[j-1])
{
c[i][j]=c[i-1][j-1]+1;
b[i][j]=1;
}
else if(c[i-1][j]>=c[i][j-1])
{
c[i][j]=c[i-1][j];
b[i][j]=2;
}
else {
c[i][j]=c[i][j-1];
b[i][j]=3;
}
//输出c[i][j]
cout<<'\n';
for(i=0;i<=m;i++)
{
for(j=0;j<=n;j++)
cout<<c[i][j]<<" ";
cout<<'\n';
}
//输出b[i][j]
cout<<'\n';
for(i=0;i<=m;i++)
{
for(j=0;j<=n;j++)
cout<<b[i][j]<<" ";
cout<<'\n';
}
//输出最长公共子序列
i=m,j=n,k=0;
while(i!=0&&j!=0)
{
if(b[i][j]==1)
{
s[k]=s1[i-1];
k++;
i--;
j--;
}
else if(b[i][j]==2)
i--;
else j--;
}
cout<<"The LCSLength string: ";
for(i=k-1;i>=0;i--)
cout<<s[i];
cout<<endl;
//释放二维数组占用的空间
for ( j = 0; j < m+1; j++)
{
delete[] b[j];
}
for ( j = 0; j < m+1; j++)
{
delete[] c[j];
}
delete[] b;
delete[] c;
b = NULL;
c = NULL;
return 0;
}
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