Assumptions
Building Process exists
Waterproofing is able to be replaced
Notes
This question is only about the strength and lifespan.
This question is NOT about cost, or process.
Additional material may be required. Please include in your answer if it can overcome an obstacle.
Potentially Relevant Values
Compressive Strengths:
Granite: ~200MPa
Concrete: ~70MPa
It is possible to use granite instead of concrete in construction (remember that buildings were made out of stone long before concrete was invented), but only in those instances where the structure is guaranteed to never experience tensile stresses.
By reinforcing the concrete with prestressed steel rods, it is possible to render the resulting structure resistant to tensile loads as well- something which cannot be done with granite blocks.
Careful preparation of concrete results in uniform properties. Blocks of granite, being natural products mined out of the earth's crust, can possess faults, cracks and inhomogenieties which compromise their structural integrity in a way that is out of the designer's control.
I know of no way to reinforce granite blocks with any sort of nanomaterials.
