You really, REALLY, don't need to give any plant constant light. There is a reason for this, I can't remember the scientific names (I want to say Calvin's cycle), but here is what happens: during the day (or whenever the plant gets light), the plant absorbs the energy, and during the night, it goes through biological processes to use the energy. If you give the plant too much light, it can kill it.
I suggest getting a timer, you can probably find one online (or maybe at a local gardening center [Lowe's, Home Depot, etc.]). Definitely do NOT live the lights on for that long.