A full spectrum isn't what corals need to be healthy and grow.
The light we provide is for the photosynthesis that goes on inside the zooanthellia that lives inside the coral polyp. The coral polyp then uses the zooanthellia as food. We really don't know much about what colors the coral polyps like.
Zooanthellia only have chlorophyll A which uses a slightly different spectrum than chlorophyll B (plants have both A&B). Here is a graph that shows how the various colors in the "˜full spectrum' are used by the zooanthellia. You want anything in the 400nm "“ 460nm range and anything in the 630nm "“ 670nm range and what ever you like in whites (they are close to full spectrum, but if that was all you needed, you wouldn't be adding the blues and reds).
Colors like UV, green and yellow don't get used by the zooanthellia. So why do people add them? For the look. You have 2 sides to play against each other. What is good for the zooanthellia (and therefore the coral) and what you want the tank to look like. Trust me, if you take the time to read this thread, you'll learn a lot!
Good luck.