The Central Intelligence Agency is receiving hundreds of resumes every day in response to a radio advertisement that says, in part: "If you would like to shape a world to come, sent your resume to the CIA."

The ads were broadcast recently in Los Angeles, Salt Lake City, Atlanta, Harrisburg, Pa., and here as part of a recruitment drive by the agency, which has been increasing its forces for more than a year.

Even before its ad campaign, the CIA said it had been averaging 800 to 1,000 resumes a week, ever since the Reagan administration took office and announced it wanted to beef up defense and intelligence agencies.

Besides spies, the CIA wants computer programmers, economists, scientists, nuclear engineers, language experts and laser-beam technicians. It currently is constructing a 1.1 million square-foot combination office building, parking garage and security reception center at its McLean headquarters to accommodate the expanded staff.

CIA officials play down the hiring campaign. The personnel increase is modest and necessary, officials said, because the CIA's staff was cut in half during the mid-1970s when it wasn't as much in favor.

The agency is warning recruits, however, that its jobs may not be as exotic as they expect. The agency explains that the bulk of its work has "less to do with cloaks and daggers than with the painstaking, generally tedious collection of facts, analysis of acts, exercise of judgment and quick, clear evaluation."