But it is also important to try and determine what caused it. If you remove the cyano (and despite your best efforts your not going to get it all) but leave all else the same, It'll be back very quickly, like in a couple days. (or less!)
Cyano can be tough because it can survive & thrive in a very broad range of conditions. I would start with a water test, be sure to include nitrates and phosphates. I would also look at the lighting system, what type of lamps are they, how many & how many watts, how many hours per day are they on and probably the most overlooked, how old are the lamps.
Does the tank get any sunlight throughout the day? Do you have strong or weak circulation in the aquarium? Is it a sand bed, if so how deep is it & how often is it cleaned? What kind of filtration does the tank have? what is your regular maintenance routine?
Check these things out and report back, I bet we can come up with some ideas of cause and solution.
Joel