If you are powering your LEDs with a constant current driver (which is the preffered way), then the only voltage you need worry about is the max and min output voltages of the driver (and of course the input voltage TO the driver, but Im sure thats not your question).
IF you have an 800mA CC driver, eg with min 2.5V and max 24V, you can connect one cree and it will run at 800mA, and you can connect up to 6 crees in series, which will also run at 800mA.
The CC drivers will adjust their output voltage to achieve the set rated current, WHITIN their specified voltage range. Like this: You have one cree, power up the circuit, from 0V 0A, the driver ramps up the voltage, and at about 3.7-4V it hits 800mA, and it stabilizes there. Now if you connect two crees in series, there is no current flowing until about 6V, and you hit 800mA at 8V or so.
Thats why you can only run one or two max crees from a flashlight board (low max voltage), and why some AC drivers need a minimum of 5 or so crees (high min voltage).
Hope I was clear enough! I had to go through the same questions as you and Im still learning!
PS To complicate things further a bit, for most buck and boost constant current drivers, the output voltage range is depndent on the INPUT voltage to the driver. eg if you have a buck (lowers the output) driver, if you put in 18V you get max 16V out, and if you put in 12V you get max 10V out.