In the 1950's Wernher von Braun, the man who would eventually head NASA, hosted a number of educational films that outlined how, exactly we might get to the Moon. In this one von Braun outlines his elaborate plan for a manned trip around the moon.
Though it may seem elaborate now, this plan, which included the construction of an entire network of support structures including a space station in the shape of a spinning wheel, would have allowed each mission to build on the one before, and leaving working hardware in place that could be used in future missions.
In the end, NASA decided to pursue much more compartmentalized versions of all of the steps necessary to get to the moon. Though each individual mission might have been less expensive, it might be interesting to compare the estimated budget for von Braun's original vision to the total cost of each of the more compartmentalized versions of the missions NASA actually carried out, and see which ended up costing more.
One note: testing revealed that von Braun's spinning wheel design would have to be much, much bigger than is shown here in this film. Otherwise the astronauts would most likely suffer debilitating motion sickness.