To just KILL Roof Algae, simply spray it with some Copper or Zinc Sulfate mixed with water.
1 8 oz cup of copper sulfate per gallon of water will kill any plant growing on a roof, and provide lasting protection against re growth for awhile.
Be sure and wet ALL plants and grass down before application.
It can be applied with a pump up sprayer.
The Roof Algea will die, and so will roof moss, and roof lichens!
Eventually, the rain will wash the dead plant matter away, but it does take a long time.