擅长:python、mysql、java
<p>下面是使用动态规划的简单、高效的解决方案</p>
<pre class="lang-py prettyprint-override"><code>def longest_subtring(X, Y):
m,n = len(X), len(Y)
LCSuff = [[0 for k in range(n+1)] for l in range(m+1)]
result = 0
for i in range(m + 1):
for j in range(n + 1):
if (i == 0 or j == 0):
LCSuff[i][j] = 0
elif (X[i-1] == Y[j-1]):
LCSuff[i][j] = LCSuff[i-1][j-1] + 1
result = max(result, LCSuff[i][j])
else:
LCSuff[i][j] = 0
print (result )
longest_subtring("abcd", "arcd") # prints 2
longest_subtring("yammxdj", "nhjdyammx") # prints 5
</code></pre>