Modern reconfigurable technologies can have a number of inherent advantages for cryptanalytic applications. Aimed at the cryptanalysis of the SHA-1 hash function, this work explores this potential showing new approaches inherently based on hardware reconfigurability, enabling algorithm and architecture exploration, input-dependent system specialization, and low-level optimizations based on static/dynamic reconfiguration. As a result of this approach, we identified a number of new techniques, at both the algorithmic and architectural level, to effectively improve the attacks against SHA-1. We also defined the architecture of a high-performance FPGA-based cluster, that turns out to be the solution with the highest speed/cost ratio for SHA-1 collision search currently available. A small-scale prototype of the cluster enabled us to reach a real collision for a 72-round version of the hash function.