Could be a few things as mentioned already. Most common cause, black spots on any type of leaves in the Northern hemisphere lately are mould, due to a lot of rain for a while, in the winter/spring, then dry periods. Fungus/mould spores love these conditions.
*You can safely try this. * Mix a tablespoon of Bicarbonate of Soda into a gallon of water, then spray on all over the entire plant leaves. It will take a while to cure, as will not suddenly disappear. Mould needs acidic PH levels to grow, and by using/adding Bicarbonate of Soda, you are changing the PH slightly to be more alkaline, which will stop/kill any moulds spores in their tracks.
Another thing, if Potatoes, is use a mulch under the leaves, on top of the actual soil, this helps trap moisture in the mulch, instead of the leaves. The leaves will eventually start to go from green to yellow and fall off, long before end of season, for a few reasons, other than what I mention here.
Another nature product is Neems oil, also mixed and sprayed on, which is safe on any leaf plant, indoors and out, good for a variety of bugs that eat or live in leaves. This is just another in a line of probable causes and fixes.