Eclipse和C / C ++ - 我是否需要单独安装编译器？

I'm starting to learn C, and installed the eclipse plugin for C/C++ development (the CDT plugin). I'm testing the setup with a hello world program, but it looks like the eclipse C plugin (CDT) doesn't have a compiler built in. I thought eclipse plugins were usually self-sufficient? Do I need to install a compiler separately to complete my c setup, or how do I get it to compile from within eclipse. I'm starting to learn C, and installed the ecli