Export multiple JaspertReport PDF Files in a single zip file

I am building a web application, which must support a functionality of exporting (through servlets) many pdf reports (more than 100) (generated with JasperReports), bundle them all up in a zip file and let the user download that zip file. This process should take care of memory usage, since at the same time there may be many users generating hundreds of reports.

What would be the best approach to this problem?

Thank you!