Support for fault/error-tolerant rational reconstruction

[JohnAAbbott]

Is your feature request related to a problem? Please describe.
FLINT offers non-fault-tolerant rational reconstruction which includes as a final check that the putative numerator and denominator are coprime (line 1038 in reconstruct_fmpz_2.c); it would be convenient to be able suppress this check.

Describe the solution you'd like
No special desire: it could be an extra boolean arg, or a new function name.
Better still a new "probabilistic" function which performs the fault-tolerant reconstruction.

Describe alternatives you've considered
It seems a shame to reimplement the sophisticated, adaptive euclidean algorithm which is already in FLINT; nevertheless, we may develop (in Julia) a Lehmer-based implementation as a stop-gap.

Additional context
Add any other context about the feature request here.
Two related articles:

1. https://arxiv.org/pdf/1303.2965 (by me, but the Heuristic algorithm is a bit different)
2. https://arxiv.org/abs/1207.1651 (by Claus Fieker et al.)