最长公共子序列长度
状态转移方程:
最长公共子序列长度C++代码实现:
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
using namespace std;
int LCS(string a, string b)
{
int la, lb;
la = a.length();
lb = b.length();
vector<vector<int>> c(la + 1, vector<int>(lb + 1, 0));
for (int i = 1; i <= la; i++)
for (int j = 1; j <= lb; j++)
{
if (a[i - 1] == b[j - 1])
c[i][j] = c[i - 1][j - 1] + 1;
else
c[i][j] = max(c[i - 1][j], c[i][j - 1]);
}
return c[la][lb];
}
int main()
{
string a, b;
while (cin >> a >> b)
{
cout << LCS(a, b) << endl;
}
return 0;
}