I wouldn't use the U.V. light for the entire 'lights on' cycle either... just thought I'd add that in.
You'll need to give the U.V. light its own cycle.. but of course, make sure you add in its own cycle while the other lights are in their 'lights on' time/cycle.
I'm sure you already were aware of that, but then again.. I've seen some incredibly goofy posts before. So, ya never know...
But yeah, also I wouldn't give the U.V. lights cycle more than 2 to 4 hrs (4 being the max) of operating time, per each cycle.
Just my personal thoughts.
good luck.