Let $X_1, X_2, ..., X_s$ and $Y_1, Y_2, ..., Y_t$ be strings over an alphabet $\Sigma$, where $s$ and $t$ are positive integers. The longest common subsequence and substring problem for multiple strings $X_1, X_2, ..., X_s$ and $Y_1, Y_2, ..., Y_t$ is to find the longest string which is a subsequence of $X_1, X_2, ..., X_s$ and a substring of $Y_1, Y_2, ..., Y_t$. In this paper, we propose an algorithm to solve the problem.

翻译：令 $X_1, X_2, ..., X_s$ 和 $Y_1, Y_2, ..., Y_t$ 为字母表 $\Sigma$ 上的字符串，其中 $s$ 和 $t$ 为正整数。多字符串 $X_1, X_2, ..., X_s$ 和 $Y_1, Y_2, ..., Y_t$ 的最长公共子序列与子串问题旨在寻找一个最长的字符串，该字符串同时是 $X_1, X_2, ..., X_s$ 的子序列，并且是 $Y_1, Y_2, ..., Y_t$ 的子串。本文提出一种求解该问题的算法。