As discussed in this entry from Quote Investigator, the origin seems to be the article "Pablo Picasso: A Composite Interview" by William Fifield which appeared in The Paris Review 32, Summer-Fall 1964, and collected a number of interviews Fifield had done with Picasso.
Common later variant: "Computers are useless. They can only give you answers." This variant seems to have arisen in the 1980s, the earliest known appearance in a book is Herman Feshbach, "Reflections on the Microprocessor Revolution: A Physicist's Viewpoint", in Man and Technology (1983), ed. Bruce M. Adkins, where the attribution is described as "rumoured".<!-- | Before 1990: in a dozen books. Over the next decade, in a dozen quiz-books and chapter header-quotes, always without source. Since 2000, it has spread virally through all kinds of media. | books.google.com advanced search results | 1983: 2 books | 1984-90: 9 books | 1991-2000: 80 books -->
More quotes by Pablo Picasso
For a long time I limited myself to one color — as a form of discipline.
When Matisse died, he left me his Odalisques 'as a legacy', he proclaimed.
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Attribution
Quote text and notes from Wikiquote: Pablo Picasso (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.