I have created n new angular app using angular-cli.
I completed the app and preview it using ng-serve, it is working perfectly.
After that I used ng build --
I'm using the latest version of the Angular-CLI (at the time of this reply its 1.0.0Beta-18)
The way this version works is it puts everything in bundle files and it calls them in the index.html file. After that you have to copy your assets over to the dist folder (for some reason it does not do that). Finally, double check your base href make sure its set to what it needs to be set to and then it should work. That's what worked for me and I've tested on both Apache and Node.