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20
help/gcdrem
20
help/gcdrem
@@ -5,10 +5,10 @@ SYNOPSIS
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gcdrem(x, y)
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TYPES
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x integer
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y integer
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x integer
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y integer
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return non-negative integer
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return non-negative integer
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DESCRIPTION
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@@ -29,13 +29,13 @@ PROPERTIES
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For fixed nonzero x, gcdrem(x,y) is periodic with period abs(x).
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gcdrem(x,y) = 1 if and only if every prime divisor of x
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is a divisor of y.
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is a divisor of y.
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If x is not zero, gcdrem(x,y) == abs(x) if and only if gcd(x,y) = 1.
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If y is not zero and p_1, p_2, ..., p_k are the prime divisors of y,
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gcdrem(x,y) = frem(...(frem(frem(x,p_1),p_2)...,p_k)
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gcdrem(x,y) = frem(...(frem(frem(x,p_1),p_2)...,p_k)
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EXAMPLE
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; print gcdrem(6,15), gcdrem(15,6), gcdrem(72,6), gcdrem(6,72)
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@@ -61,7 +61,7 @@ SEE ALSO
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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@@ -69,8 +69,8 @@ SEE ALSO
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1995/12/18 12:03:02
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## File existed as early as: 1995
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## Under source code control: 1995/12/18 12:03:02
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## File existed as early as: 1995
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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