#include <pari/pari.h> /* return d = gcd(a,b), sets u, v such that au + bv = gcd(a,b) */ GEN extgcd(GEN A, GEN B, GEN *U, GEN *V) { pari_sp av = avma; GEN ux = gun, vx = gzero, a = A, b = B; if (typ(a) != t_INT || typ(b) != t_INT) err(typeer, "extgcd"); if (signe(a) < 0) { a = negi(a); ux = negi(ux); } while (!gcmp0(b)) { GEN r, q = dvmdii(a, b, &r), v = vx; vx = subii(ux, mulii(q, vx)); ux = v; a = b; b = r; } *U = ux; *V = diviiexact( subii(a, mulii(A,ux)), B ); gerepileall(av, 3, &a, U, V); return a; } int main() { GEN x, y, d, u, v; pari_init(1000000,2); printf("x = "); x = lisGEN(stdin); printf("y = "); y = lisGEN(stdin); d = extgcd(x, y, &u, &v); pariputsf("gcd = %Z\nu = %Z\nv = %Z\n", u,v); return 0; }