186d7f5d3SJohn Marino /* mpz_lcm -- mpz/mpz least common multiple.
286d7f5d3SJohn Marino
386d7f5d3SJohn Marino Copyright 1996, 2000, 2001, 2005 Free Software Foundation, Inc.
486d7f5d3SJohn Marino
586d7f5d3SJohn Marino This file is part of the GNU MP Library.
686d7f5d3SJohn Marino
786d7f5d3SJohn Marino The GNU MP Library is free software; you can redistribute it and/or modify
886d7f5d3SJohn Marino it under the terms of the GNU Lesser General Public License as published by
986d7f5d3SJohn Marino the Free Software Foundation; either version 3 of the License, or (at your
1086d7f5d3SJohn Marino option) any later version.
1186d7f5d3SJohn Marino
1286d7f5d3SJohn Marino The GNU MP Library is distributed in the hope that it will be useful, but
1386d7f5d3SJohn Marino WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
1486d7f5d3SJohn Marino or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
1586d7f5d3SJohn Marino License for more details.
1686d7f5d3SJohn Marino
1786d7f5d3SJohn Marino You should have received a copy of the GNU Lesser General Public License
1886d7f5d3SJohn Marino along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
1986d7f5d3SJohn Marino
2086d7f5d3SJohn Marino #include "gmp.h"
2186d7f5d3SJohn Marino #include "gmp-impl.h"
2286d7f5d3SJohn Marino #include "longlong.h"
2386d7f5d3SJohn Marino
2486d7f5d3SJohn Marino
2586d7f5d3SJohn Marino void
mpz_lcm(mpz_ptr r,mpz_srcptr u,mpz_srcptr v)2686d7f5d3SJohn Marino mpz_lcm (mpz_ptr r, mpz_srcptr u, mpz_srcptr v)
2786d7f5d3SJohn Marino {
2886d7f5d3SJohn Marino mpz_t g;
2986d7f5d3SJohn Marino mp_size_t usize, vsize, size;
3086d7f5d3SJohn Marino TMP_DECL;
3186d7f5d3SJohn Marino
3286d7f5d3SJohn Marino usize = SIZ (u);
3386d7f5d3SJohn Marino vsize = SIZ (v);
3486d7f5d3SJohn Marino if (usize == 0 || vsize == 0)
3586d7f5d3SJohn Marino {
3686d7f5d3SJohn Marino SIZ (r) = 0;
3786d7f5d3SJohn Marino return;
3886d7f5d3SJohn Marino }
3986d7f5d3SJohn Marino usize = ABS (usize);
4086d7f5d3SJohn Marino vsize = ABS (vsize);
4186d7f5d3SJohn Marino
4286d7f5d3SJohn Marino if (vsize == 1)
4386d7f5d3SJohn Marino {
4486d7f5d3SJohn Marino mp_limb_t vl, gl, c;
4586d7f5d3SJohn Marino mp_srcptr up;
4686d7f5d3SJohn Marino mp_ptr rp;
4786d7f5d3SJohn Marino
4886d7f5d3SJohn Marino one:
4986d7f5d3SJohn Marino MPZ_REALLOC (r, usize+1);
5086d7f5d3SJohn Marino
5186d7f5d3SJohn Marino up = PTR(u);
5286d7f5d3SJohn Marino vl = PTR(v)[0];
5386d7f5d3SJohn Marino gl = mpn_gcd_1 (up, usize, vl);
5486d7f5d3SJohn Marino vl /= gl;
5586d7f5d3SJohn Marino
5686d7f5d3SJohn Marino rp = PTR(r);
5786d7f5d3SJohn Marino c = mpn_mul_1 (rp, up, usize, vl);
5886d7f5d3SJohn Marino rp[usize] = c;
5986d7f5d3SJohn Marino usize += (c != 0);
6086d7f5d3SJohn Marino SIZ(r) = usize;
6186d7f5d3SJohn Marino return;
6286d7f5d3SJohn Marino }
6386d7f5d3SJohn Marino
6486d7f5d3SJohn Marino if (usize == 1)
6586d7f5d3SJohn Marino {
6686d7f5d3SJohn Marino usize = vsize;
6786d7f5d3SJohn Marino MPZ_SRCPTR_SWAP (u, v);
6886d7f5d3SJohn Marino goto one;
6986d7f5d3SJohn Marino }
7086d7f5d3SJohn Marino
7186d7f5d3SJohn Marino TMP_MARK;
7286d7f5d3SJohn Marino size = MAX (usize, vsize);
7386d7f5d3SJohn Marino MPZ_TMP_INIT (g, size);
7486d7f5d3SJohn Marino
7586d7f5d3SJohn Marino mpz_gcd (g, u, v);
7686d7f5d3SJohn Marino mpz_divexact (g, u, g);
7786d7f5d3SJohn Marino mpz_mul (r, g, v);
7886d7f5d3SJohn Marino
7986d7f5d3SJohn Marino SIZ (r) = ABS (SIZ (r)); /* result always positive */
8086d7f5d3SJohn Marino
8186d7f5d3SJohn Marino TMP_FREE;
8286d7f5d3SJohn Marino }
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