Invoke Java Library from Flex



I have Flex running on Tomcat with LCDS. On tomcat there is a JAR that has classes I'd like to use/interact with from Flex. In the simple LCDS examples they demonstrate having a class and a matching class, but the java library I am trying to use has many more classes and would take a long time to copy into Actionscript.

What is the best way to interact with the Java classes (I don't have a web service to use like in the LCDS example).