Is there any free PDF editor for Mac, but not Preview to edit PDF files on Mac? Need to edited file the same as the original one.

I think your sentence needs expansion. This one:

Need to edited file the same as the original one.

While it's easy to google your question, if a file is edited, how could be the same as the original?

As long as the PDF is not locked, there are a number of free editors. Try a Google search to find one that suits you. You can also do a short-term subscription to the cloud-based Adobe Acrobat PDF editor which for a month or so isn't too pricey.