有书上说，下面两句相等（现在分词可以用完成式和一般式）：
Having finished his work, he began to have dinner.
=Finishing his work, he began to have dinner.
今天看到这个句子：
Having found a hotel, we looked for somewhere to have dinner.。
请问，句子中的现在分词完成式having found可以换成一般式finding吗？说不可以换？为什么？
