How to calculate modulus of the form (a*b)%c?

▼魔方 西西 提交于 2019-12-05 09:13:40
(a * b) % c == ((a % c) * (b % c)) % c

What about ((a % c) * (b % c)) % c? Depending on your architecture this could be faster or slower than casting to a bigger type.

You may cast a and c to long long, so the multiplication won't overflow.

((long long)a * (long long)b) % c
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